diff --git a/src/transformers/trainer.py b/src/transformers/trainer.py
index 2df9113e1e27ba..7dadb708d180f3 100755
--- a/src/transformers/trainer.py
+++ b/src/transformers/trainer.py
@@ -19,7 +19,7 @@
 from tqdm.auto import tqdm, trange
 
 from .data.data_collator import DataCollator, default_data_collator
-from .file_utils import is_apex_available, is_torch_tpu_available
+from .file_utils import is_torch_tpu_available
 from .modeling_utils import PreTrainedModel
 from .optimization import AdamW, get_linear_schedule_with_warmup
 from .trainer_utils import (
@@ -33,8 +33,19 @@
 from .training_args import TrainingArguments
 
 
-if is_apex_available():
-    from apex import amp
+_use_native_amp = False
+_use_apex = False
+
+# Check if Pytorch version >= 1.6 to switch between Native AMP and Apex
+if version.parse(torch.__version__) < version.parse("1.6"):
+    from transformers.file_utils import is_apex_available
+
+    if is_apex_available():
+        from apex import amp
+    _use_apex = True
+else:
+    _use_native_amp = True
+    from torch.cuda.amp import autocast
 
 
 if is_torch_tpu_available():
@@ -225,6 +236,8 @@ def __init__(
                 ),
                 FutureWarning,
             )
+        if self.args.fp16 and _use_native_amp:
+            self.scaler = torch.cuda.amp.GradScaler()
 
     def _get_train_sampler(self) -> Optional[torch.utils.data.sampler.Sampler]:
         if isinstance(self.train_dataset, torch.utils.data.IterableDataset):
@@ -428,7 +441,7 @@ def train(self, model_path: Optional[str] = None):
             scheduler.load_state_dict(torch.load(os.path.join(model_path, "scheduler.pt")))
 
         model = self.model
-        if self.args.fp16:
+        if self.args.fp16 and _use_apex:
             if not is_apex_available():
                 raise ImportError("Please install apex from https://www.github.com/nvidia/apex to use fp16 training.")
             model, optimizer = amp.initialize(model, optimizer, opt_level=self.args.fp16_opt_level)
@@ -525,13 +538,20 @@ def train(self, model_path: Optional[str] = None):
                     len(epoch_iterator) <= self.args.gradient_accumulation_steps
                     and (step + 1) == len(epoch_iterator)
                 ):
-                    if self.args.fp16:
+                    if self.args.fp16 and _use_native_amp:
+                        self.scaler.unscale_(optimizer)
+                        torch.nn.utils.clip_grad_norm_(model.parameters(), self.args.max_grad_norm)
+                    elif self.args.fp16 and _use_apex:
                         torch.nn.utils.clip_grad_norm_(amp.master_params(optimizer), self.args.max_grad_norm)
                     else:
                         torch.nn.utils.clip_grad_norm_(model.parameters(), self.args.max_grad_norm)
 
                     if is_torch_tpu_available():
                         xm.optimizer_step(optimizer)
+
+                    if self.args.fp16 and _use_native_amp:
+                        self.scaler.step(optimizer)
+                        self.scaler.update()
                     else:
                         optimizer.step()
 
@@ -699,19 +719,27 @@ def training_step(
         model.train()
         inputs = self._prepare_inputs(inputs, model)
 
-        outputs = model(**inputs)
-        # We don't use .loss here since the model may return tuples instead of ModelOutput.
-        loss = outputs[0]
+        if self.args.fp16 and _use_native_amp:
+            with autocast():
+                outputs = model(**inputs)
+                loss = outputs[0]
+        else:
+            outputs = model(**inputs)
+            # We don't use .loss here since the model may return tuples instead of ModelOutput.
+            loss = outputs[0]
 
         if self.args.past_index >= 0:
             self._past = outputs[self.args.past_index]
 
         if self.args.n_gpu > 1:
             loss = loss.mean()  # mean() to average on multi-gpu parallel training
+
         if self.args.gradient_accumulation_steps > 1:
             loss = loss / self.args.gradient_accumulation_steps
 
-        if self.args.fp16:
+        if self.args.fp16 and _use_native_amp:
+            self.scaler.scale(loss).backward()
+        elif self.args.fp16 and _use_apex:
             with amp.scale_loss(loss, optimizer) as scaled_loss:
                 scaled_loss.backward()
         else: