diff --git a/src/lightning/fabric/strategies/deepspeed.py b/src/lightning/fabric/strategies/deepspeed.py
index d8cba0c53e1fa..66f191920ece5 100644
--- a/src/lightning/fabric/strategies/deepspeed.py
+++ b/src/lightning/fabric/strategies/deepspeed.py
@@ -551,6 +551,13 @@ def clip_gradients_value(
     def register_strategies(cls, strategy_registry: _StrategyRegistry) -> None:
         strategy_registry.register("deepspeed", cls, description="Default DeepSpeed Strategy")
         strategy_registry.register("deepspeed_stage_1", cls, description="DeepSpeed with ZeRO Stage 1 enabled", stage=1)
+        strategy_registry.register(
+            "deepspeed_stage_1_offload",
+            cls,
+            description="DeepSpeed with ZeRO Stage 1 and optimizer CPU Offload",
+            stage=1,
+            offload_optimizer=True,
+        )
         strategy_registry.register("deepspeed_stage_2", cls, description="DeepSpeed with ZeRO Stage 2 enabled", stage=2)
         strategy_registry.register(
             "deepspeed_stage_2_offload",
diff --git a/src/lightning/pytorch/CHANGELOG.md b/src/lightning/pytorch/CHANGELOG.md
index 8f17607600c59..0f50c3e842173 100644
--- a/src/lightning/pytorch/CHANGELOG.md
+++ b/src/lightning/pytorch/CHANGELOG.md
@@ -17,6 +17,7 @@ The format is based on [Keep a Changelog](http://keepachangelog.com/en/1.0.0/).
 - Added a utility function and CLI to consolidate FSDP sharded checkpoints into a single file ([#19213](https://github.com/Lightning-AI/lightning/pull/19213))
 - The TQDM progress bar now respects the env variable `TQDM_MINITERS` for setting the refresh rate ([#19381](https://github.com/Lightning-AI/lightning/pull/19381))
 - Added support for saving and loading stateful training DataLoaders ([#19361](https://github.com/Lightning-AI/lightning/pull/19361))
+- Added shortcut name `strategy='deepspeed_stage_1_offload'` to the strategy registry ([#19075](https://github.com/Lightning-AI/lightning/pull/19075))
 - Added support for non-strict state-dict loading in Trainer via the new `LightningModule.strict_loading = True | False` attribute ([#19404](https://github.com/Lightning-AI/lightning/pull/19404))
 
 ### Changed
diff --git a/tests/tests_fabric/strategies/test_registry.py b/tests/tests_fabric/strategies/test_registry.py
index a61225bd2c785..1865328cf59bf 100644
--- a/tests/tests_fabric/strategies/test_registry.py
+++ b/tests/tests_fabric/strategies/test_registry.py
@@ -44,6 +44,7 @@ def test_available_strategies_in_registry():
         "ddp",
         "deepspeed",
         "deepspeed_stage_1",
+        "deepspeed_stage_1_offload",
         "deepspeed_stage_2",
         "deepspeed_stage_2_offload",
         "deepspeed_stage_3",