diff --git a/changes/3112-ojii.md b/changes/3112-ojii.md
new file mode 100644
index 0000000..a4c6e14
--- /dev/null
+++ b/changes/3112-ojii.md
@@ -0,0 +1 @@
+Catch overflow errors in `int_validator`
\ No newline at end of file
diff --git a/pydantic/validators.py b/pydantic/validators.py
index 2c65658..897d1bb 100644
--- a/pydantic/validators.py
+++ b/pydantic/validators.py
@@ -125,7 +125,7 @@ def int_validator(v: Any) -> int:
 
     try:
         return int(v)
-    except (TypeError, ValueError):
+    except (TypeError, ValueError, OverflowError):
         raise errors.IntegerError()
 
 
diff --git a/tests/test_validators.py b/tests/test_validators.py
index f7d7016..e7007ad 100644
--- a/tests/test_validators.py
+++ b/tests/test_validators.py
@@ -43,6 +43,18 @@ def test_int_validation():
     assert Model(a=4.5).a == 4
 
 
+@pytest.mark.parametrize('value', [2.2250738585072011e308, float('nan'), float('inf')])
+def test_int_overflow_validation(value):
+    class Model(BaseModel):
+        a: int
+
+    with pytest.raises(ValidationError) as exc_info:
+        Model(a=value)
+    assert exc_info.value.errors() == [
+        {'loc': ('a',), 'msg': 'value is not a valid integer', 'type': 'type_error.integer'}
+    ]
+
+
 def test_frozenset_validation():
     class Model(BaseModel):
         a: frozenset