diff --git a/rest_framework/fields.py b/rest_framework/fields.py
index c8f65db0e..612568e57 100644
--- a/rest_framework/fields.py
+++ b/rest_framework/fields.py
@@ -1014,10 +1014,11 @@ class DecimalField(Field):
     MAX_STRING_LENGTH = 1000  # Guard against malicious string inputs.
 
     def __init__(self, max_digits, decimal_places, coerce_to_string=None, max_value=None, min_value=None,
-                 localize=False, rounding=None, **kwargs):
+                 localize=False, rounding=None, normalize=False, **kwargs):
         self.max_digits = max_digits
         self.decimal_places = decimal_places
         self.localize = localize
+        self.normalize = normalize
         if coerce_to_string is not None:
             self.coerce_to_string = coerce_to_string
         if self.localize:
@@ -1125,6 +1126,11 @@ class DecimalField(Field):
 
         quantized = self.quantize(value)
 
+        # TODO: Should maybe name the value to something not bound to
+        #   quantized. Ex: out_value
+        if self.normalize:
+            quantized = quantized.normalize()
+
         if not coerce_to_string:
             return quantized
         if self.localize:
diff --git a/tests/test_fields.py b/tests/test_fields.py
index 12c936b22..103940ea7 100644
--- a/tests/test_fields.py
+++ b/tests/test_fields.py
@@ -1169,6 +1169,26 @@ class TestQuantizedValueForDecimal(TestCase):
         expected_digit_tuple = (0, (1, 2, 0, 0), -2)
         assert value == expected_digit_tuple
 
+class TestNormalizedValueDecimalField(TestCase):
+    """
+    Test that we get the expected behavior of on DecimalField when normalize=True
+    """
+
+    def test_normalize_output(self):
+        field = serializers.DecimalField(max_digits=4, decimal_places=3, normalize=True)
+        output = field.to_representation(Decimal('1.000'))
+        assert output == '1'
+
+    def test_non_normalize_output(self):
+        field = serializers.DecimalField(max_digits=4, decimal_places=3, normalize=False)
+        output = field.to_representation(Decimal('1.000'))
+        assert output == '1.000'
+
+    def test_normalize_coeherce_to_string(self):
+        field = serializers.DecimalField(max_digits=4, decimal_places=3, normalize=True, coerce_to_string=False)
+        output = field.to_representation(Decimal('1.000'))
+        assert output == Decimal('1')
+
 
 class TestNoDecimalPlaces(FieldValues):
     valid_inputs = {