diff --git a/pytorch_lightning/trainer/training_io.py b/pytorch_lightning/trainer/training_io.py
index 2ee77ada4c..4d439a3512 100644
--- a/pytorch_lightning/trainer/training_io.py
+++ b/pytorch_lightning/trainer/training_io.py
@@ -125,6 +125,8 @@ class TrainerIOMixin(ABC):
         self.early_stop_callback = None
         self.lr_schedulers = None
         self.optimizers = None
+        self.num_training_batches = None
+        self.accumulate_grad_batches = None
 
     def get_model(self):
         is_dp_module = isinstance(self.model, (LightningDistributedDataParallel,
@@ -305,10 +307,9 @@ class TrainerIOMixin(ABC):
         self.restore_training_state(checkpoint)
 
     def dump_checkpoint(self):
-
         checkpoint = {
-            'epoch': self.current_epoch,
-            'global_step': self.global_step
+            'epoch': self.current_epoch + 1,
+            'global_step': self.global_step + 1,
         }
 
         if self.checkpoint_callback is not None and self.checkpoint_callback is not False:
@@ -388,6 +389,17 @@ class TrainerIOMixin(ABC):
         self.global_step = checkpoint['global_step']
         self.current_epoch = checkpoint['epoch']
 
+        # Division deals with global step stepping once per accumulated batch
+        # Inequality deals with different global step for odd vs even num_training_batches
+        n_accum = 1 if self.accumulate_grad_batches is None else self.accumulate_grad_batches
+        expected_steps = self.num_training_batches / n_accum
+        if self.num_training_batches != 0 and self.global_step % expected_steps > 1:
+            warnings.warn(
+                "You're resuming from a checkpoint that ended mid-epoch. "
+                "This can cause unreliable results if further training is done, "
+                "consider using an end of epoch checkpoint. "
+            )
+
         # restore the optimizers
         optimizer_states = checkpoint['optimizer_states']
         for optimizer, opt_state in zip(self.optimizers, optimizer_states):
diff --git a/tests/test_restore_models.py b/tests/test_restore_models.py
index 92ab71364c..2bd033b097 100644
--- a/tests/test_restore_models.py
+++ b/tests/test_restore_models.py
@@ -214,8 +214,8 @@ def test_dp_resume(tmpdir):
     trainer.is_slurm_managing_tasks = True
     result = trainer.fit(model)
 
-    # track epoch before saving
-    real_global_epoch = trainer.current_epoch
+    # track epoch before saving. Increment since we finished the current epoch, don't want to rerun
+    real_global_epoch = trainer.current_epoch + 1
 
     # correct result and ok accuracy
     assert result == 1, 'amp + dp model failed to complete'
@@ -282,7 +282,8 @@ def test_cpu_restore_training(tmpdir):
     # fit model
     trainer = Trainer(**trainer_options)
     result = trainer.fit(model)
-    real_global_epoch = trainer.current_epoch
+    # Increment since we've finished the current epoch, don't want to rerun
+    real_global_epoch = trainer.current_epoch + 1
 
     # traning complete
     assert result == 1, 'amp + ddp model failed to complete'
diff --git a/tests/test_trainer.py b/tests/test_trainer.py
index 283b332aa0..231ef9508a 100644
--- a/tests/test_trainer.py
+++ b/tests/test_trainer.py
@@ -413,6 +413,74 @@ def test_multiple_val_dataloader(tmpdir):
         tutils.run_prediction(dataloader, trainer.model)
 
 
+def test_resume_from_checkpoint_epoch_restored(tmpdir):
+    """Verify resuming from checkpoint runs the right number of epochs"""
+    import types
+
+    tutils.reset_seed()
+
+    hparams = tutils.get_hparams()
+
+    def new_model():
+        # Create a model that tracks epochs and batches seen
+        model = LightningTestModel(hparams)
+        model.num_epochs_seen = 0
+        model.num_batches_seen = 0
+
+        def increment_epoch(self):
+            self.num_epochs_seen += 1
+
+        def increment_batch(self, _):
+            self.num_batches_seen += 1
+
+        # Bind the increment_epoch function on_epoch_end so that the
+        # model keeps track of the number of epochs it has seen.
+        model.on_epoch_end = types.MethodType(increment_epoch, model)
+        model.on_batch_start = types.MethodType(increment_batch, model)
+        return model
+
+    model = new_model()
+
+    trainer_options = dict(
+        show_progress_bar=False,
+        max_epochs=2,
+        train_percent_check=0.65,
+        val_percent_check=1,
+        checkpoint_callback=ModelCheckpoint(tmpdir, save_top_k=-1),
+        logger=False,
+        default_save_path=tmpdir,
+        early_stop_callback=False,
+        val_check_interval=0.5,
+    )
+
+    # fit model
+    trainer = Trainer(**trainer_options)
+    trainer.fit(model)
+
+    training_batches = trainer.num_training_batches
+
+    assert model.num_epochs_seen == 2
+    assert model.num_batches_seen == training_batches * 2
+
+    # Other checkpoints can be uncommented if/when resuming mid-epoch is supported
+    checkpoints = [
+        # os.path.join(trainer.checkpoint_callback.filepath, "_ckpt_epoch_0.ckpt"),
+        os.path.join(trainer.checkpoint_callback.filepath, "_ckpt_epoch_0_v0.ckpt"),
+        # os.path.join(trainer.checkpoint_callback.filepath, "_ckpt_epoch_1.ckpt"),
+        os.path.join(trainer.checkpoint_callback.filepath, "_ckpt_epoch_1_v0.ckpt"),
+    ]
+
+    for check in checkpoints:
+        next_model = new_model()
+        state = torch.load(check)
+
+        # Resume training
+        trainer_options['max_epochs'] = 4
+        new_trainer = Trainer(**trainer_options, resume_from_checkpoint=check)
+        new_trainer.fit(next_model)
+        assert state['global_step'] + next_model.num_batches_seen == training_batches * 4
+
+
 def test_multiple_test_dataloader(tmpdir):
     """Verify multiple test_dataloader."""
     tutils.reset_seed()