diff --git a/CHANGELOG.md b/CHANGELOG.md
index 29daa1a074..ac6df04186 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -234,6 +234,9 @@ The format is based on [Keep a Changelog](http://keepachangelog.com/en/1.0.0/).
 - Deprecated default value of `monitor` argument in EarlyStopping callback to enforce `monitor` as a required argument ([#7907](https://github.com/PyTorchLightning/pytorch-lightning/pull/7907))
 
 
+- Deprecated importing `rank_zero_{warn,deprecation}` directly from `pytorch_lightning.utilities.distributed` ([#8085](https://github.com/PyTorchLightning/pytorch-lightning/pull/8085))
+
+
 - Deprecated the use of `CheckpointConnector.hpc_load()` in favor of `CheckpointConnector.restore()` ([#7652](https://github.com/PyTorchLightning/pytorch-lightning/pull/7652))
 
 
diff --git a/pytorch_lightning/utilities/distributed.py b/pytorch_lightning/utilities/distributed.py
index eb35cdec6c..ae977bd03b 100644
--- a/pytorch_lightning/utilities/distributed.py
+++ b/pytorch_lightning/utilities/distributed.py
@@ -65,6 +65,24 @@ def _get_rank() -> int:
 rank_zero_only.rank = getattr(rank_zero_only, 'rank', _get_rank())
 
 
+def rank_zero_warn(*args, stacklevel: int = 5, **kwargs):
+    from pytorch_lightning.utilities.warnings import rank_zero_deprecation, rank_zero_warn
+    rank_zero_deprecation(
+        '`pytorch_lightning.utilities.distributed.rank_zero_warn` has been moved to'
+        ' `pytorch_lightning.utilities.rank_zero_warn` in v1.3.7 and will be removed in v1.6'
+    )
+    return rank_zero_warn(*args, stacklevel=stacklevel, **kwargs)
+
+
+def rank_zero_deprecation(*args, stacklevel: int = 5, **kwargs):
+    from pytorch_lightning.utilities.warnings import rank_zero_deprecation
+    rank_zero_deprecation(
+        '`pytorch_lightning.utilities.distributed.rank_zero_deprecation` has been moved to'
+        ' `pytorch_lightning.utilities.rank_zero_deprecation` in v1.3.7 and will be removed in v1.6'
+    )
+    return rank_zero_deprecation(*args, stacklevel=stacklevel, **kwargs)
+
+
 def _info(*args, stacklevel: int = 2, **kwargs):
     if python_version() >= "3.8.0":
         kwargs['stacklevel'] = stacklevel
diff --git a/tests/deprecated_api/test_remove_1-6.py b/tests/deprecated_api/test_remove_1-6.py
index d4974eac2f..4868a938dd 100644
--- a/tests/deprecated_api/test_remove_1-6.py
+++ b/tests/deprecated_api/test_remove_1-6.py
@@ -17,6 +17,7 @@ import pytest
 from pytorch_lightning import Trainer
 from pytorch_lightning.callbacks.early_stopping import EarlyStopping
 from pytorch_lightning.plugins.training_type import DDPPlugin, DDPSpawnPlugin
+from pytorch_lightning.utilities.distributed import rank_zero_deprecation, rank_zero_warn
 from pytorch_lightning.utilities.model_helpers import is_overridden
 from tests.helpers import BoringDataModule, BoringModel
 
@@ -235,3 +236,10 @@ def test_v1_6_0_train_loop(tmpdir):
         match=r"`Trainer.train_loop` has been renamed to `Trainer.fit_loop` and will be removed in v1.6."
     ):
         _ = trainer.train_loop
+
+
+def test_v1_6_0_rank_zero_warnings_moved():
+    with pytest.deprecated_call(match='in v1.3.7 and will be removed in v1.6'):
+        rank_zero_warn('test')
+    with pytest.deprecated_call(match='in v1.3.7 and will be removed in v1.6'):
+        rank_zero_deprecation('test')