diff --git a/tests/test_toml_document.py b/tests/test_toml_document.py
index 84b114b9..4d40b0b6 100644
--- a/tests/test_toml_document.py
+++ b/tests/test_toml_document.py
@@ -22,6 +22,44 @@
 from tomlkit.toml_document import TOMLDocument
 
 
+@pytest.mark.parametrize(
+    "content", ["value = nan", "value = [nan]", "[table]\nvalue = nan"]
+)
+@pytest.mark.parametrize("plain", [False, True])
+def test_document_inequality_complements_nan_equality(
+    content: str, plain: bool
+) -> None:
+    doc = parse(content)
+    other_doc = parse(content)
+    other = other_doc.unwrap() if plain else other_doc
+
+    assert doc == other
+    assert other == doc
+    assert not (doc != other)
+    assert not (other != doc)
+
+
+@pytest.mark.parametrize("content", ["value = 1", "value = inf", "value = [1, 2]"])
+def test_document_inequality_detects_different_values(content: str) -> None:
+    doc = parse(content)
+    other = parse("value = 2")
+    assert doc != other
+    assert other != doc
+    assert not (doc == other)
+
+
+def test_document_inequality_preserves_reflected_comparison() -> None:
+    class Comparator:
+        def __ne__(self, other: object) -> bool:
+            return False
+
+    doc = parse("value = nan")
+    other = Comparator()
+    assert doc.__ne__(other) is NotImplemented
+    assert not (doc != other)
+    assert doc != object()
+
+
 def test_document_is_a_dict(example: Callable[[str], str]) -> None:
     content = example("example")
 
diff --git a/tomlkit/container.py b/tomlkit/container.py
index 9265c740..02ed5b57 100644
--- a/tomlkit/container.py
+++ b/tomlkit/container.py
@@ -1066,6 +1066,12 @@ def __eq__(self, other: object) -> bool:
 
         return bool(_equal_with_nan(self.value, other))
 
+    def __ne__(self, other: object) -> bool:
+        result = self.__eq__(other)
+        if result is NotImplemented:
+            return NotImplemented
+        return not result
+
     def _getstate(self, protocol: int) -> tuple[bool]:
         return (self._parsed,)