diff --git a/rest_framework/fields.py b/rest_framework/fields.py
index 88d606b28..4bea5c419 100644
--- a/rest_framework/fields.py
+++ b/rest_framework/fields.py
@@ -919,7 +919,8 @@ class FloatField(Field):
         'invalid': _('A valid number is required.'),
         'max_value': _('Ensure this value is less than or equal to {max_value}.'),
         'min_value': _('Ensure this value is greater than or equal to {min_value}.'),
-        'max_string_length': _('String value too large.')
+        'max_string_length': _('String value too large.'),
+        'overflow': _('Integer value too large to convert to float')
     }
     MAX_STRING_LENGTH = 1000  # Guard against malicious string inputs.
 
@@ -945,6 +946,8 @@ class FloatField(Field):
             return float(data)
         except (TypeError, ValueError):
             self.fail('invalid')
+        except OverflowError:
+            self.fail('overflow')
 
     def to_representation(self, value):
         return float(value)
diff --git a/tests/test_fields.py b/tests/test_fields.py
index 3112fc2cc..bcdcf15d8 100644
--- a/tests/test_fields.py
+++ b/tests/test_fields.py
@@ -1,4 +1,5 @@
 import datetime
+import math
 import os
 import re
 import uuid
@@ -1072,6 +1073,14 @@ class TestMinMaxFloatField(FieldValues):
     field = serializers.FloatField(min_value=1, max_value=3)
 
 
+class TestFloatFieldOverFlowError(TestCase):
+    def test_overflow_error_float_field(self):
+        field = serializers.FloatField()
+        with pytest.raises(serializers.ValidationError) as exec_info:
+            field.to_internal_value(data=math.factorial(171))
+        assert "Integer value too large to convert to float" in str(exec_info.value.detail)
+
+
 class TestDecimalField(FieldValues):
     """
     Valid and invalid values for `DecimalField`.