diff --git a/sqlmodel/main.py b/sqlmodel/main.py
index 40fe64e423..8646b5ac8d 100644
--- a/sqlmodel/main.py
+++ b/sqlmodel/main.py
@@ -91,6 +91,10 @@
 )
 OnDeleteType = Literal["CASCADE", "SET NULL", "RESTRICT"]
 
+CONST_DEPRECATION_MSG = "`const` is deprecated and doesn't work, use `Literal` instead"
+UNIQUE_ITEMS_DEPRECATION_MSG = (
+    "`unique_items` is deprecated and doesn't work, use `set` type instead"
+)
 MIN_ITEMS_DEPRECATION_MSG = (
     "`min_items` is deprecated and will be removed, use `min_length` instead"
 )
@@ -254,7 +258,10 @@ def Field(
     description: str | None = None,
     exclude: Set[int | str] | Mapping[int | str, Any] | Any = None,
     include: Set[int | str] | Mapping[int | str, Any] | Any = None,
-    const: bool | None = None,
+    const: Annotated[
+        bool | None,
+        deprecated(CONST_DEPRECATION_MSG),
+    ] = None,
     gt: float | None = None,
     ge: float | None = None,
     lt: float | None = None,
@@ -270,7 +277,10 @@ def Field(
         int | None,
         deprecated(MAX_ITEMS_DEPRECATION_MSG),
     ] = None,
-    unique_items: bool | None = None,
+    unique_items: Annotated[
+        bool | None,
+        deprecated(UNIQUE_ITEMS_DEPRECATION_MSG),
+    ] = None,
     min_length: int | None = None,
     max_length: int | None = None,
     allow_mutation: bool = True,
@@ -303,7 +313,10 @@ def Field(
     description: str | None = None,
     exclude: Set[int | str] | Mapping[int | str, Any] | Any = None,
     include: Set[int | str] | Mapping[int | str, Any] | Any = None,
-    const: bool | None = None,
+    const: Annotated[
+        bool | None,
+        deprecated(CONST_DEPRECATION_MSG),
+    ] = None,
     gt: float | None = None,
     ge: float | None = None,
     lt: float | None = None,
@@ -319,7 +332,10 @@ def Field(
         int | None,
         deprecated(MAX_ITEMS_DEPRECATION_MSG),
     ] = None,
-    unique_items: bool | None = None,
+    unique_items: Annotated[
+        bool | None,
+        deprecated(UNIQUE_ITEMS_DEPRECATION_MSG),
+    ] = None,
     min_length: int | None = None,
     max_length: int | None = None,
     allow_mutation: bool = True,
@@ -361,7 +377,10 @@ def Field(
     description: str | None = None,
     exclude: Set[int | str] | Mapping[int | str, Any] | Any = None,
     include: Set[int | str] | Mapping[int | str, Any] | Any = None,
-    const: bool | None = None,
+    const: Annotated[
+        bool | None,
+        deprecated(CONST_DEPRECATION_MSG),
+    ] = None,
     gt: float | None = None,
     ge: float | None = None,
     lt: float | None = None,
@@ -377,7 +396,10 @@ def Field(
         int | None,
         deprecated(MAX_ITEMS_DEPRECATION_MSG),
     ] = None,
-    unique_items: bool | None = None,
+    unique_items: Annotated[
+        bool | None,
+        deprecated(UNIQUE_ITEMS_DEPRECATION_MSG),
+    ] = None,
     min_length: int | None = None,
     max_length: int | None = None,
     allow_mutation: bool = True,
@@ -400,7 +422,10 @@ def Field(
     description: str | None = None,
     exclude: Set[int | str] | Mapping[int | str, Any] | Any = None,
     include: Set[int | str] | Mapping[int | str, Any] | Any = None,
-    const: bool | None = None,
+    const: Annotated[
+        bool | None,
+        deprecated(CONST_DEPRECATION_MSG),
+    ] = None,
     gt: float | None = None,
     ge: float | None = None,
     lt: float | None = None,
@@ -416,7 +441,10 @@ def Field(
         int | None,
         deprecated(MAX_ITEMS_DEPRECATION_MSG),
     ] = None,
-    unique_items: bool | None = None,
+    unique_items: Annotated[
+        bool | None,
+        deprecated(UNIQUE_ITEMS_DEPRECATION_MSG),
+    ] = None,
     min_length: int | None = None,
     max_length: int | None = None,
     allow_mutation: bool = True,
@@ -437,6 +465,10 @@ def Field(
 ) -> Any:
     current_schema_extra = schema_extra or {}
 
+    if const is not None:
+        raise RuntimeError(CONST_DEPRECATION_MSG)
+    if unique_items is not None:
+        raise RuntimeError(UNIQUE_ITEMS_DEPRECATION_MSG)
     if min_items is not None:
         warnings.warn(MIN_ITEMS_DEPRECATION_MSG, DeprecationWarning, stacklevel=2)
         if min_length is None:
@@ -455,7 +487,6 @@ def Field(
         "description": description,
         "exclude": exclude,
         "include": include,
-        "const": const,
         "gt": gt,
         "ge": ge,
         "lt": lt,
@@ -463,7 +494,6 @@ def Field(
         "multiple_of": multiple_of,
         "max_digits": max_digits,
         "decimal_places": decimal_places,
-        "unique_items": unique_items,
         "min_length": min_length,
         "max_length": max_length,
         "allow_mutation": allow_mutation,
diff --git a/tests/test_pydantic/test_field.py b/tests/test_pydantic/test_field.py
index e41a252852..b43d6419f2 100644
--- a/tests/test_pydantic/test_field.py
+++ b/tests/test_pydantic/test_field.py
@@ -88,6 +88,26 @@ class Model(SQLModel):
     assert "foo=" not in repr(instance)
 
 
+def test_const_is_deprecated():
+    with pytest.raises(
+        RuntimeError,
+        match="`const` is deprecated and doesn't work, use `Literal` instead",
+    ):
+
+        class Model(SQLModel):
+            int_value: int = Field(default=10, const=True)
+
+
+def test_unique_items_is_deprecated():
+    with pytest.raises(
+        RuntimeError,
+        match="`unique_items` is deprecated and doesn't work, use `set` type instead",
+    ):
+
+        class Model(SQLModel):
+            values: list[int] = Field(unique_items=True)
+
+
 def test_min_items():
     with pytest.warns(
         DeprecationWarning,