diff --git a/fastapi/param_functions.py b/fastapi/param_functions.py
index b3621626c..7dc2c1d9f 100644
--- a/fastapi/param_functions.py
+++ b/fastapi/param_functions.py
@@ -1,5 +1,6 @@
 from typing import Any, Callable, Dict, List, Optional, Sequence, Union
 
+from annotated_types import SupportsGe, SupportsGt, SupportsLe, SupportsLt
 from fastapi import params
 from fastapi._compat import Undefined
 from fastapi.openapi.models import Example
@@ -90,37 +91,38 @@ def Path(  # noqa: N802
         ),
     ] = None,
     gt: Annotated[
-        Optional[float],
+        Optional[SupportsGt],
         Doc(
             """
-            Greater than. If set, value must be greater than this. Only applicable to
-            numbers.
+            Greater than. If set, value must be greater than this. Applicable to
+            any comparable type, not just numbers.
             """
         ),
     ] = None,
     ge: Annotated[
-        Optional[float],
+        Optional[SupportsGe],
         Doc(
             """
             Greater than or equal. If set, value must be greater than or equal to
-            this. Only applicable to numbers.
+            this. Applicable to any comparable type, not just numbers.
             """
         ),
     ] = None,
     lt: Annotated[
-        Optional[float],
+        Optional[SupportsLt],
         Doc(
             """
-            Less than. If set, value must be less than this. Only applicable to numbers.
+            Less than. If set, value must be less than this. Applicable to
+            any comparable type, not just numbers.
             """
         ),
     ] = None,
     le: Annotated[
-        Optional[float],
+        Optional[SupportsLe],
         Doc(
             """
             Less than or equal. If set, value must be less than or equal to this.
-            Only applicable to numbers.
+            Applicable to any comparable type, not just numbers.
             """
         ),
     ] = None,
@@ -415,37 +417,38 @@ def Query(  # noqa: N802
         ),
     ] = None,
     gt: Annotated[
-        Optional[float],
+        Optional[SupportsGt],
         Doc(
             """
-            Greater than. If set, value must be greater than this. Only applicable to
-            numbers.
+            Greater than. If set, value must be greater than this. Applicable to
+            any comparable type, not just numbers.
             """
         ),
     ] = None,
     ge: Annotated[
-        Optional[float],
+        Optional[SupportsGe],
         Doc(
             """
             Greater than or equal. If set, value must be greater than or equal to
-            this. Only applicable to numbers.
+            this. Applicable to any comparable type, not just numbers.
             """
         ),
     ] = None,
     lt: Annotated[
-        Optional[float],
+        Optional[SupportsLt],
         Doc(
             """
-            Less than. If set, value must be less than this. Only applicable to numbers.
+            Less than. If set, value must be less than this. Applicable to
+            any comparable type, not just numbers.
             """
         ),
     ] = None,
     le: Annotated[
-        Optional[float],
+        Optional[SupportsLe],
         Doc(
             """
             Less than or equal. If set, value must be less than or equal to this.
-            Only applicable to numbers.
+            Applicable to any comparable type, not just numbers.
             """
         ),
     ] = None,
@@ -730,37 +733,38 @@ def Header(  # noqa: N802
         ),
     ] = None,
     gt: Annotated[
-        Optional[float],
+        Optional[SupportsGt],
         Doc(
             """
-            Greater than. If set, value must be greater than this. Only applicable to
-            numbers.
+            Greater than. If set, value must be greater than this. Applicable to
+            any comparable type, not just numbers.
             """
         ),
     ] = None,
     ge: Annotated[
-        Optional[float],
+        Optional[SupportsGe],
         Doc(
             """
             Greater than or equal. If set, value must be greater than or equal to
-            this. Only applicable to numbers.
+            this. Applicable to any comparable type, not just numbers.
             """
         ),
     ] = None,
     lt: Annotated[
-        Optional[float],
+        Optional[SupportsLt],
         Doc(
             """
-            Less than. If set, value must be less than this. Only applicable to numbers.
+            Less than. If set, value must be less than this. Applicable to
+            any comparable type, not just numbers.
             """
         ),
     ] = None,
     le: Annotated[
-        Optional[float],
+        Optional[SupportsLe],
         Doc(
             """
             Less than or equal. If set, value must be less than or equal to this.
-            Only applicable to numbers.
+            Applicable to any comparable type, not just numbers.
             """
         ),
     ] = None,
@@ -1035,37 +1039,38 @@ def Cookie(  # noqa: N802
         ),
     ] = None,
     gt: Annotated[
-        Optional[float],
+        Optional[SupportsGt],
         Doc(
             """
-            Greater than. If set, value must be greater than this. Only applicable to
-            numbers.
+            Greater than. If set, value must be greater than this. Applicable to
+            any comparable type, not just numbers.
             """
         ),
     ] = None,
     ge: Annotated[
-        Optional[float],
+        Optional[SupportsGe],
         Doc(
             """
             Greater than or equal. If set, value must be greater than or equal to
-            this. Only applicable to numbers.
+            this. Applicable to any comparable type, not just numbers.
             """
         ),
     ] = None,
     lt: Annotated[
-        Optional[float],
+        Optional[SupportsLt],
         Doc(
             """
-            Less than. If set, value must be less than this. Only applicable to numbers.
+            Less than. If set, value must be less than this. Applicable to
+            any comparable type, not just numbers.
             """
         ),
     ] = None,
     le: Annotated[
-        Optional[float],
+        Optional[SupportsLe],
         Doc(
             """
             Less than or equal. If set, value must be less than or equal to this.
-            Only applicable to numbers.
+            Applicable to any comparable type, not just numbers.
             """
         ),
     ] = None,
@@ -1362,37 +1367,38 @@ def Body(  # noqa: N802
         ),
     ] = None,
     gt: Annotated[
-        Optional[float],
+        Optional[SupportsGt],
         Doc(
             """
-            Greater than. If set, value must be greater than this. Only applicable to
-            numbers.
+            Greater than. If set, value must be greater than this. Applicable to
+            any comparable type, not just numbers.
             """
         ),
     ] = None,
     ge: Annotated[
-        Optional[float],
+        Optional[SupportsGe],
         Doc(
             """
             Greater than or equal. If set, value must be greater than or equal to
-            this. Only applicable to numbers.
+            this. Applicable to any comparable type, not just numbers.
             """
         ),
     ] = None,
     lt: Annotated[
-        Optional[float],
+        Optional[SupportsLt],
         Doc(
             """
-            Less than. If set, value must be less than this. Only applicable to numbers.
+            Less than. If set, value must be less than this. Applicable to
+            any comparable type, not just numbers.
             """
         ),
     ] = None,
     le: Annotated[
-        Optional[float],
+        Optional[SupportsLe],
         Doc(
             """
             Less than or equal. If set, value must be less than or equal to this.
-            Only applicable to numbers.
+            Applicable to any comparable type, not just numbers.
             """
         ),
     ] = None,
@@ -1677,37 +1683,38 @@ def Form(  # noqa: N802
         ),
     ] = None,
     gt: Annotated[
-        Optional[float],
+        Optional[SupportsGt],
         Doc(
             """
-            Greater than. If set, value must be greater than this. Only applicable to
-            numbers.
+            Greater than. If set, value must be greater than this. Applicable to
+            any comparable type, not just numbers.
             """
         ),
     ] = None,
     ge: Annotated[
-        Optional[float],
+        Optional[SupportsGe],
         Doc(
             """
             Greater than or equal. If set, value must be greater than or equal to
-            this. Only applicable to numbers.
+            this. Applicable to any comparable type, not just numbers.
             """
         ),
     ] = None,
     lt: Annotated[
-        Optional[float],
+        Optional[SupportsLt],
         Doc(
             """
-            Less than. If set, value must be less than this. Only applicable to numbers.
+            Less than. If set, value must be less than this. Applicable to
+            any comparable type, not just numbers.
             """
         ),
     ] = None,
     le: Annotated[
-        Optional[float],
+        Optional[SupportsLe],
         Doc(
             """
             Less than or equal. If set, value must be less than or equal to this.
-            Only applicable to numbers.
+            Applicable to any comparable type, not just numbers.
             """
         ),
     ] = None,
@@ -1991,37 +1998,38 @@ def File(  # noqa: N802
         ),
     ] = None,
     gt: Annotated[
-        Optional[float],
+        Optional[SupportsGt],
         Doc(
             """
-            Greater than. If set, value must be greater than this. Only applicable to
-            numbers.
+            Greater than. If set, value must be greater than this. Applicable to
+            any comparable type, not just numbers.
             """
         ),
     ] = None,
     ge: Annotated[
-        Optional[float],
+        Optional[SupportsGe],
         Doc(
             """
             Greater than or equal. If set, value must be greater than or equal to
-            this. Only applicable to numbers.
+            this. Applicable to any comparable type, not just numbers.
             """
         ),
     ] = None,
     lt: Annotated[
-        Optional[float],
+        Optional[SupportsLt],
         Doc(
             """
-            Less than. If set, value must be less than this. Only applicable to numbers.
+            Less than. If set, value must be less than this. Applicable to
+            any comparable type, not just numbers.
             """
         ),
     ] = None,
     le: Annotated[
-        Optional[float],
+        Optional[SupportsLe],
         Doc(
             """
             Less than or equal. If set, value must be less than or equal to this.
-            Only applicable to numbers.
+            Applicable to any comparable type, not just numbers.
             """
         ),
     ] = None,
diff --git a/fastapi/params.py b/fastapi/params.py
index 8f5601dd3..c178f77bf 100644
--- a/fastapi/params.py
+++ b/fastapi/params.py
@@ -2,6 +2,7 @@ import warnings
 from enum import Enum
 from typing import Any, Callable, Dict, List, Optional, Sequence, Union
 
+from annotated_types import SupportsGe, SupportsGt, SupportsLe, SupportsLt
 from fastapi.openapi.models import Example
 from pydantic.fields import FieldInfo
 from typing_extensions import Annotated, deprecated
@@ -39,10 +40,10 @@ class Param(FieldInfo):
         serialization_alias: Union[str, None] = None,
         title: Optional[str] = None,
         description: Optional[str] = None,
-        gt: Optional[float] = None,
-        ge: Optional[float] = None,
-        lt: Optional[float] = None,
-        le: Optional[float] = None,
+        gt: Optional[SupportsGt] = None,
+        ge: Optional[SupportsGe] = None,
+        lt: Optional[SupportsLt] = None,
+        le: Optional[SupportsLe] = None,
         min_length: Optional[int] = None,
         max_length: Optional[int] = None,
         pattern: Optional[str] = None,
@@ -153,10 +154,10 @@ class Path(Param):
         serialization_alias: Union[str, None] = None,
         title: Optional[str] = None,
         description: Optional[str] = None,
-        gt: Optional[float] = None,
-        ge: Optional[float] = None,
-        lt: Optional[float] = None,
-        le: Optional[float] = None,
+        gt: Optional[SupportsGt] = None,
+        ge: Optional[SupportsGe] = None,
+        lt: Optional[SupportsLt] = None,
+        le: Optional[SupportsLe] = None,
         min_length: Optional[int] = None,
         max_length: Optional[int] = None,
         pattern: Optional[str] = None,
@@ -239,10 +240,10 @@ class Query(Param):
         serialization_alias: Union[str, None] = None,
         title: Optional[str] = None,
         description: Optional[str] = None,
-        gt: Optional[float] = None,
-        ge: Optional[float] = None,
-        lt: Optional[float] = None,
-        le: Optional[float] = None,
+        gt: Optional[SupportsGt] = None,
+        ge: Optional[SupportsGe] = None,
+        lt: Optional[SupportsLt] = None,
+        le: Optional[SupportsLe] = None,
         min_length: Optional[int] = None,
         max_length: Optional[int] = None,
         pattern: Optional[str] = None,
@@ -324,10 +325,10 @@ class Header(Param):
         convert_underscores: bool = True,
         title: Optional[str] = None,
         description: Optional[str] = None,
-        gt: Optional[float] = None,
-        ge: Optional[float] = None,
-        lt: Optional[float] = None,
-        le: Optional[float] = None,
+        gt: Optional[SupportsGt] = None,
+        ge: Optional[SupportsGe] = None,
+        lt: Optional[SupportsLt] = None,
+        le: Optional[SupportsLe] = None,
         min_length: Optional[int] = None,
         max_length: Optional[int] = None,
         pattern: Optional[str] = None,
@@ -409,10 +410,10 @@ class Cookie(Param):
         serialization_alias: Union[str, None] = None,
         title: Optional[str] = None,
         description: Optional[str] = None,
-        gt: Optional[float] = None,
-        ge: Optional[float] = None,
-        lt: Optional[float] = None,
-        le: Optional[float] = None,
+        gt: Optional[SupportsGt] = None,
+        ge: Optional[SupportsGe] = None,
+        lt: Optional[SupportsLt] = None,
+        le: Optional[SupportsLe] = None,
         min_length: Optional[int] = None,
         max_length: Optional[int] = None,
         pattern: Optional[str] = None,
@@ -493,10 +494,10 @@ class Body(FieldInfo):
         serialization_alias: Union[str, None] = None,
         title: Optional[str] = None,
         description: Optional[str] = None,
-        gt: Optional[float] = None,
-        ge: Optional[float] = None,
-        lt: Optional[float] = None,
-        le: Optional[float] = None,
+        gt: Optional[SupportsGt] = None,
+        ge: Optional[SupportsGe] = None,
+        lt: Optional[SupportsLt] = None,
+        le: Optional[SupportsLe] = None,
         min_length: Optional[int] = None,
         max_length: Optional[int] = None,
         pattern: Optional[str] = None,
@@ -609,10 +610,10 @@ class Form(Body):
         serialization_alias: Union[str, None] = None,
         title: Optional[str] = None,
         description: Optional[str] = None,
-        gt: Optional[float] = None,
-        ge: Optional[float] = None,
-        lt: Optional[float] = None,
-        le: Optional[float] = None,
+        gt: Optional[SupportsGt] = None,
+        ge: Optional[SupportsGe] = None,
+        lt: Optional[SupportsLt] = None,
+        le: Optional[SupportsLe] = None,
         min_length: Optional[int] = None,
         max_length: Optional[int] = None,
         pattern: Optional[str] = None,
@@ -693,10 +694,10 @@ class File(Form):
         serialization_alias: Union[str, None] = None,
         title: Optional[str] = None,
         description: Optional[str] = None,
-        gt: Optional[float] = None,
-        ge: Optional[float] = None,
-        lt: Optional[float] = None,
-        le: Optional[float] = None,
+        gt: Optional[SupportsGt] = None,
+        ge: Optional[SupportsGe] = None,
+        lt: Optional[SupportsLt] = None,
+        le: Optional[SupportsLe] = None,
         min_length: Optional[int] = None,
         max_length: Optional[int] = None,
         pattern: Optional[str] = None,