diff --git a/CHANGELOG.md b/CHANGELOG.md
index 69c194bfac5af..8d776968f6152 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -172,6 +172,9 @@ The format is based on [Keep a Changelog](http://keepachangelog.com/en/1.0.0/).
 - Updated deprecation of  `argparse_utils.py` from removal in 1.4 to 2.0 ([#9162](https://github.com/PyTorchLightning/pytorch-lightning/pull/9162))
 
 
+- Deprecated passing `process_position` to the `Trainer` constructor in favor of adding the `ProgressBar` callback with `process_position` directly to the list of callbacks ([#9222](https://github.com/PyTorchLightning/pytorch-lightning/pull/9222))
+
+
 
 ### Removed
 
diff --git a/pytorch_lightning/trainer/connectors/callback_connector.py b/pytorch_lightning/trainer/connectors/callback_connector.py
index 4bdafbf97690b..e2153a0cd9341 100644
--- a/pytorch_lightning/trainer/connectors/callback_connector.py
+++ b/pytorch_lightning/trainer/connectors/callback_connector.py
@@ -19,6 +19,7 @@
 from pytorch_lightning.callbacks.timer import Timer
 from pytorch_lightning.utilities import rank_zero_info
 from pytorch_lightning.utilities.exceptions import MisconfigurationException
+from pytorch_lightning.utilities.warnings import rank_zero_deprecation
 
 
 class CallbackConnector:
@@ -58,6 +59,12 @@ def on_trainer_init(
         self._configure_timer_callback(max_time)
 
         # init progress bar
+        if process_position != 0:
+            rank_zero_deprecation(
+                f"Setting `Trainer(process_position={process_position})` is deprecated in v1.5 and will be removed"
+                " in v1.7. Please pass `pytorch_lightning.callbacks.progress.ProgressBar` with"
+                " `process_position` directly to the Trainer's `callbacks` argument instead."
+            )
         self.trainer._progress_bar_callback = self.configure_progress_bar(progress_bar_refresh_rate, process_position)
 
         # push all checkpoint callbacks to the end
diff --git a/pytorch_lightning/trainer/trainer.py b/pytorch_lightning/trainer/trainer.py
index f56a84b1d294d..a6ace2a04cdeb 100644
--- a/pytorch_lightning/trainer/trainer.py
+++ b/pytorch_lightning/trainer/trainer.py
@@ -247,6 +247,11 @@ def __init__(
 
             process_position: orders the progress bar when running multiple models on same machine.
 
+                .. deprecated:: v1.5
+                    ``process_position`` has been deprecated in v1.5 and will be removed in v1.7.
+                    Please pass :class:`~pytorch_lightning.callbacks.progress.ProgressBar` with ``process_position``
+                    directly to the Trainer's ``callbacks`` argument instead.
+
             progress_bar_refresh_rate: How often to refresh progress bar (in steps). Value ``0`` disables progress bar.
                 Ignored when a custom progress bar is passed to :paramref:`~Trainer.callbacks`. Default: None, means
                 a suitable value will be chosen based on the environment (terminal, Google COLAB, etc.).
diff --git a/tests/deprecated_api/test_remove_1-7.py b/tests/deprecated_api/test_remove_1-7.py
index 8c7b1a00d13d4..188b7f4a4a3fa 100644
--- a/tests/deprecated_api/test_remove_1-7.py
+++ b/tests/deprecated_api/test_remove_1-7.py
@@ -116,3 +116,8 @@ def test_v1_7_0_deprecated_on_train_dataloader(tmpdir):
 def test_v1_7_0_test_tube_logger(_, tmpdir):
     with pytest.deprecated_call(match="The TestTubeLogger is deprecated since v1.5 and will be removed in v1.7"):
         _ = TestTubeLogger(tmpdir)
+
+
+def test_v1_7_0_process_position_trainer_constructor(tmpdir):
+    with pytest.deprecated_call(match=r"Setting `Trainer\(process_position=5\)` is deprecated in v1.5"):
+        _ = Trainer(process_position=5)