diff --git a/CHANGELOG.md b/CHANGELOG.md
index 209a8a4671028..94057eac37d6c 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -83,6 +83,8 @@ The format is based on [Keep a Changelog](http://keepachangelog.com/en/1.0.0/).
     * Added Rich progress bar ([#8929](https://github.com/PyTorchLightning/pytorch-lightning/pull/8929), [#9559](https://github.com/PyTorchLightning/pytorch-lightning/pull/9559))
     * Added Support for iterable datasets ([#9734](https://github.com/PyTorchLightning/pytorch-lightning/pull/9734))
     * Added `RichModelSummary` callback ([#9546](https://github.com/PyTorchLightning/pytorch-lightning/pull/9546))
+    * Added `configure_columns` method to `RichProgressBar` ([#10288](https://github.com/PyTorchLightning/pytorch-lightning/pull/10288))
+    * Added `leave` argument to `RichProgressBar` ([#10301](https://github.com/PyTorchLightning/pytorch-lightning/pull/10301))
 - Added input validation logic for precision ([#9080](https://github.com/PyTorchLightning/pytorch-lightning/pull/9080))
 - Added support for CPU AMP autocast ([#9084](https://github.com/PyTorchLightning/pytorch-lightning/pull/9084))
 - Added `on_exception` callback hook ([#9183](https://github.com/PyTorchLightning/pytorch-lightning/pull/9183))
@@ -128,7 +130,6 @@ The format is based on [Keep a Changelog](http://keepachangelog.com/en/1.0.0/).
 - Added support for `devices="auto"` ([#10264](https://github.com/PyTorchLightning/pytorch-lightning/pull/10264))
 - Added a `filename` argument in `ModelCheckpoint.format_checkpoint_name` ([#9818](https://github.com/PyTorchLightning/pytorch-lightning/pull/9818))
 - Added support for empty `gpus` list to run on CPU ([#10246](https://github.com/PyTorchLightning/pytorch-lightning/pull/10246))
-- Added `configure_columns` method to `RichProgressBar` ([#10288](https://github.com/PyTorchLightning/pytorch-lightning/pull/10288))
 - Added a warning if multiple batch sizes are found from ambiguous batch ([#10247](https://github.com/PyTorchLightning/pytorch-lightning/pull/10247))
 
 
diff --git a/pytorch_lightning/callbacks/progress/rich_progress.py b/pytorch_lightning/callbacks/progress/rich_progress.py
index d684f8a7e38ed..f6f862704f599 100644
--- a/pytorch_lightning/callbacks/progress/rich_progress.py
+++ b/pytorch_lightning/callbacks/progress/rich_progress.py
@@ -195,6 +195,7 @@ class RichProgressBar(ProgressBarBase):
 
     Args:
         refresh_rate_per_second: the number of updates per second. If refresh_rate is 0, progress bar is disabled.
+        leave: Leaves the finished progress bar in the terminal at the end of the epoch. Default: False
         theme: Contains styles used to stylize the progress bar.
 
     Raises:
@@ -205,6 +206,7 @@ class RichProgressBar(ProgressBarBase):
     def __init__(
         self,
         refresh_rate_per_second: int = 10,
+        leave: bool = False,
         theme: RichProgressBarTheme = RichProgressBarTheme(),
     ) -> None:
         if not _RICH_AVAILABLE:
@@ -213,6 +215,7 @@ def __init__(
             )
         super().__init__()
         self._refresh_rate_per_second: int = refresh_rate_per_second
+        self._leave: bool = leave
         self._enabled: bool = True
         self.progress: Optional[Progress] = None
         self.val_sanity_progress_bar_id: Optional[int] = None
@@ -323,9 +326,15 @@ def on_train_epoch_start(self, trainer, pl_module):
         total_batches = total_train_batches + total_val_batches
 
         train_description = self._get_train_description(trainer.current_epoch)
+        if self.main_progress_bar_id is not None and self._leave:
+            self._stop_progress()
+            self._init_progress(trainer, pl_module)
         if self.main_progress_bar_id is None:
             self.main_progress_bar_id = self._add_task(total_batches, train_description)
-        self.progress.reset(self.main_progress_bar_id, total=total_batches, description=train_description)
+        else:
+            self.progress.reset(
+                self.main_progress_bar_id, total=total_batches, description=train_description, visible=True
+            )
 
     def on_validation_epoch_start(self, trainer, pl_module):
         super().on_validation_epoch_start(trainer, pl_module)
diff --git a/tests/callbacks/test_rich_progress_bar.py b/tests/callbacks/test_rich_progress_bar.py
index ab0852c4729af..6c0a201c794c3 100644
--- a/tests/callbacks/test_rich_progress_bar.py
+++ b/tests/callbacks/test_rich_progress_bar.py
@@ -144,7 +144,7 @@ def on_train_start(self) -> None:
 
 
 @RunIf(rich=True)
-def test_rich_progress_bar_configure_columns(tmpdir):
+def test_rich_progress_bar_configure_columns():
     from rich.progress import TextColumn
 
     custom_column = TextColumn("[progress.description]Testing Rich!")
@@ -159,3 +159,24 @@ def configure_columns(self, trainer, pl_module):
 
     assert progress_bar.progress.columns[0] == custom_column
     assert len(progress_bar.progress.columns) == 1
+
+
+@RunIf(rich=True)
+@pytest.mark.parametrize(("leave", "reset_call_count"), ([(True, 0), (False, 5)]))
+def test_rich_progress_bar_leave(tmpdir, leave, reset_call_count):
+    # Calling `reset` means continuing on the same progress bar.
+    model = BoringModel()
+
+    with mock.patch(
+        "pytorch_lightning.callbacks.progress.rich_progress.Progress.reset", autospec=True
+    ) as mock_progress_reset:
+        progress_bar = RichProgressBar(leave=leave)
+        trainer = Trainer(
+            default_root_dir=tmpdir,
+            num_sanity_val_steps=0,
+            limit_train_batches=1,
+            max_epochs=6,
+            callbacks=progress_bar,
+        )
+        trainer.fit(model)
+    assert mock_progress_reset.call_count == reset_call_count