diff --git a/CHANGELOG.md b/CHANGELOG.md
index b6f4ddf74662c..c28d2ab73ef99 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -19,6 +19,8 @@ The format is based on [Keep a Changelog](http://keepachangelog.com/en/1.0.0/).
 
 - Added error when AUROC metric is used for multiclass problems ([#3350](https://github.com/PyTorchLightning/pytorch-lightning/pull/3350))
 
+- Allow `ModelCheckpoint` monitor to be `None`, meaning it will always save ([3630](https://github.com/PyTorchLightning/pytorch-lightning/pull/3630))
+
 ### Changed
 
 - Changed `LearningRateLogger` to `LearningRateMonitor` ([#3251](https://github.com/PyTorchLightning/pytorch-lightning/pull/3251))
diff --git a/pytorch_lightning/callbacks/model_checkpoint.py b/pytorch_lightning/callbacks/model_checkpoint.py
index 29eb2b1fb5dd8..fb992977ff21c 100644
--- a/pytorch_lightning/callbacks/model_checkpoint.py
+++ b/pytorch_lightning/callbacks/model_checkpoint.py
@@ -36,7 +36,7 @@
 
 class ModelCheckpoint(Callback):
     r"""
-    Save the model after every epoch if it improves.
+    Save the model after every epoch by monitoring a quantity.
 
     After training finishes, use :attr:`best_model_path` to retrieve the path to the
     best checkpoint file and :attr:`best_model_score` to retrieve its score.
@@ -63,7 +63,7 @@ class ModelCheckpoint(Callback):
             :paramref:`~pytorch_lightning.trainer.trainer.Trainer.weights_save_path` arguments,
             and if the Trainer uses a logger, the path will also contain logger name and version.
 
-        monitor: quantity to monitor.
+        monitor: quantity to monitor. If None, a checkpoint will be saved every epoch.
         verbose: verbosity mode. Default: ``False``.
         save_last: always saves the model at the end of the epoch. Default: ``False``.
         save_top_k: if ``save_top_k == k``,
@@ -120,7 +120,7 @@ class ModelCheckpoint(Callback):
     def __init__(
         self,
         filepath: Optional[str] = None,
-        monitor: str = "checkpoint_on",
+        monitor: Optional[str] = "checkpoint_on",
         verbose: bool = False,
         save_last: bool = False,
         save_top_k: int = 1,
@@ -174,7 +174,7 @@ def __init__(
             "min": (torch_inf, "min"),
             "max": (-torch_inf, "max"),
             "auto": (-torch_inf, "max")
-            if "acc" in self.monitor or self.monitor.startswith("fmeasure")
+            if monitor is not None and ("acc" in monitor or monitor.startswith("fmeasure"))
             else (torch_inf, "min"),
         }
 
@@ -337,11 +337,11 @@ def on_validation_end(self, trainer, pl_module):
         epoch = trainer.current_epoch
 
         # validate metric
-        if not self._is_valid_monitor_key(metrics):
-            keys = list(metrics.keys())
-            m = f"""
-                ModelCheckpoint(monitor='{self.monitor}') not found in the returned metrics ({keys}),
-                "did you call result.log(f'{self.monitor}', tensor)?"""
+        if not (self.monitor is None or self._is_valid_monitor_key(metrics)):
+            m = (
+                f"ModelCheckpoint(monitor='{self.monitor}') not found in the returned metrics:"
+                f" {list(metrics.keys())}. HINT: Did you call result.log('{self.monitor}', tensor)?"
+            )
             raise MisconfigurationException(m)
 
         if (
diff --git a/tests/callbacks/test_model_checkpoint.py b/tests/callbacks/test_model_checkpoint.py
index f7db35fe045bb..6ea07772ccb00 100644
--- a/tests/callbacks/test_model_checkpoint.py
+++ b/tests/callbacks/test_model_checkpoint.py
@@ -204,6 +204,30 @@ def test_model_checkpoint_save_last_checkpoint_contents(tmpdir):
         assert w0.eq(w1).all()
 
 
+def test_model_checkpoint_none_monitor(tmpdir):
+    model = EvalModelTemplate()
+    epochs = 2
+    checkpoint_callback = ModelCheckpoint(filepath=tmpdir, monitor=None, save_top_k=-1)
+    trainer = Trainer(
+        default_root_dir=tmpdir,
+        early_stop_callback=False,
+        checkpoint_callback=checkpoint_callback,
+        max_epochs=epochs,
+    )
+    trainer.fit(model)
+
+    # these should not be set if monitor is None
+    assert checkpoint_callback.best_model_path == ''
+    assert checkpoint_callback.best_model_score == 0
+    assert checkpoint_callback.best_k_models == {}
+    assert checkpoint_callback.kth_best_model_path == ''
+
+    # check that the correct ckpts were created
+    expected = ['lightning_logs']
+    expected.extend(f'epoch={e}.ckpt' for e in range(epochs))
+    assert set(os.listdir(tmpdir)) == set(expected)
+
+
 def test_ckpt_metric_names(tmpdir):
     model = EvalModelTemplate()