diff --git a/pytorch_lightning/accelerators/accelerator.py b/pytorch_lightning/accelerators/accelerator.py
index cbd0e2309e..ad0779d88b 100644
--- a/pytorch_lightning/accelerators/accelerator.py
+++ b/pytorch_lightning/accelerators/accelerator.py
@@ -74,3 +74,8 @@ class Accelerator(ABC):
     @abstractmethod
     def is_available() -> bool:
         """Detect if the hardware is available."""
+
+    @staticmethod
+    @abstractmethod
+    def name() -> str:
+        """Name of the Accelerator."""
diff --git a/pytorch_lightning/accelerators/cpu.py b/pytorch_lightning/accelerators/cpu.py
index d586478619..a027e7db6e 100644
--- a/pytorch_lightning/accelerators/cpu.py
+++ b/pytorch_lightning/accelerators/cpu.py
@@ -62,3 +62,8 @@ class CPUAccelerator(Accelerator):
     def is_available() -> bool:
         """CPU is always available for execution."""
         return True
+
+    @staticmethod
+    def name() -> str:
+        """Name of the Accelerator."""
+        return "cpu"
diff --git a/pytorch_lightning/accelerators/gpu.py b/pytorch_lightning/accelerators/gpu.py
index f9181e8802..529d067025 100644
--- a/pytorch_lightning/accelerators/gpu.py
+++ b/pytorch_lightning/accelerators/gpu.py
@@ -93,6 +93,11 @@ class GPUAccelerator(Accelerator):
     def is_available() -> bool:
         return torch.cuda.device_count() > 0
 
+    @staticmethod
+    def name() -> str:
+        """Name of the Accelerator."""
+        return "gpu"
+
 
 def get_nvidia_gpu_stats(device: _DEVICE) -> Dict[str, float]:
     """Get GPU stats including memory, fan speed, and temperature from nvidia-smi.
diff --git a/pytorch_lightning/accelerators/ipu.py b/pytorch_lightning/accelerators/ipu.py
index 2ac1c79461..1e8b2bc27f 100644
--- a/pytorch_lightning/accelerators/ipu.py
+++ b/pytorch_lightning/accelerators/ipu.py
@@ -46,3 +46,8 @@ class IPUAccelerator(Accelerator):
     @staticmethod
     def is_available() -> bool:
         return _IPU_AVAILABLE
+
+    @staticmethod
+    def name() -> str:
+        """Name of the Accelerator."""
+        return "ipu"
diff --git a/pytorch_lightning/accelerators/tpu.py b/pytorch_lightning/accelerators/tpu.py
index cd84cccd8b..dfdc950e70 100644
--- a/pytorch_lightning/accelerators/tpu.py
+++ b/pytorch_lightning/accelerators/tpu.py
@@ -64,3 +64,8 @@ class TPUAccelerator(Accelerator):
     @staticmethod
     def is_available() -> bool:
         return _TPU_AVAILABLE
+
+    @staticmethod
+    def name() -> str:
+        """Name of the Accelerator."""
+        return "tpu"
diff --git a/pytorch_lightning/trainer/connectors/accelerator_connector.py b/pytorch_lightning/trainer/connectors/accelerator_connector.py
index b31f598d82..7038dffb98 100644
--- a/pytorch_lightning/trainer/connectors/accelerator_connector.py
+++ b/pytorch_lightning/trainer/connectors/accelerator_connector.py
@@ -465,16 +465,15 @@ class AcceleratorConnector:
         return "cpu"
 
     def _set_parallel_devices_and_init_accelerator(self) -> None:
-        # TODO add device availability check
+        ACCELERATORS = {
+            "cpu": CPUAccelerator,
+            "gpu": GPUAccelerator,
+            "tpu": TPUAccelerator,
+            "ipu": IPUAccelerator,
+        }
         if isinstance(self._accelerator_flag, Accelerator):
             self.accelerator: Accelerator = self._accelerator_flag
         else:
-            ACCELERATORS = {
-                "cpu": CPUAccelerator,
-                "gpu": GPUAccelerator,
-                "tpu": TPUAccelerator,
-                "ipu": IPUAccelerator,
-            }
             assert self._accelerator_flag is not None
             self._accelerator_flag = self._accelerator_flag.lower()
             if self._accelerator_flag not in ACCELERATORS:
@@ -485,6 +484,15 @@ class AcceleratorConnector:
             accelerator_class = ACCELERATORS[self._accelerator_flag]
             self.accelerator = accelerator_class()  # type: ignore[abstract]
 
+        if not self.accelerator.is_available():
+            available_accelerator = [acc_str for acc_str in list(ACCELERATORS) if ACCELERATORS[acc_str].is_available()]
+            raise MisconfigurationException(
+                f"{self.accelerator.__class__.__qualname__} can not run on your system"
+                f" since {self.accelerator.name().upper()}s are not available."
+                " The following accelerator(s) is available and can be passed into"
+                f" `accelerator` argument of `Trainer`: {available_accelerator}."
+            )
+
         self._set_devices_flag_if_auto_passed()
 
         self._gpus = self._devices_flag if not self._gpus else self._gpus
diff --git a/tests/accelerators/test_accelerator_connector.py b/tests/accelerators/test_accelerator_connector.py
index 4dd2ea9847..0a41feaec2 100644
--- a/tests/accelerators/test_accelerator_connector.py
+++ b/tests/accelerators/test_accelerator_connector.py
@@ -358,6 +358,10 @@ def test_custom_accelerator(device_count_mock, setup_distributed_mock):
         def is_available() -> bool:
             return True
 
+        @staticmethod
+        def name() -> str:
+            return "custom_acc_name"
+
     class Prec(PrecisionPlugin):
         pass
 
@@ -429,8 +433,9 @@ def test_ipython_compatible_dp_strategy_gpu(_, monkeypatch):
     assert trainer.strategy.launcher is None or trainer.strategy.launcher.is_interactive_compatible
 
 
+@mock.patch("pytorch_lightning.accelerators.tpu.TPUAccelerator.is_available", return_value=True)
 @mock.patch("pytorch_lightning.accelerators.tpu.TPUAccelerator.parse_devices", return_value=8)
-def test_ipython_compatible_strategy_tpu(_, monkeypatch):
+def test_ipython_compatible_strategy_tpu(mock_devices, mock_tpu_acc_avail, monkeypatch):
     monkeypatch.setattr(pytorch_lightning.utilities, "_IS_INTERACTIVE", True)
     trainer = Trainer(accelerator="tpu")
     assert trainer.strategy.launcher is None or trainer.strategy.launcher.is_interactive_compatible
@@ -480,9 +485,10 @@ def test_accelerator_cpu(_):
 
     with pytest.raises(MisconfigurationException, match="You requested gpu:"):
         trainer = Trainer(gpus=1)
-    # TODO enable this test when add device availability check
-    # with pytest.raises(MisconfigurationException, match="You requested gpu, but gpu is not available"):
-    #     trainer = Trainer(accelerator="gpu")
+    with pytest.raises(
+        MisconfigurationException, match="GPUAccelerator can not run on your system since GPUs are not available."
+    ):
+        trainer = Trainer(accelerator="gpu")
     with pytest.raises(MisconfigurationException, match="You requested gpu:"):
         trainer = Trainer(accelerator="cpu", gpus=1)
 
@@ -899,8 +905,9 @@ def test_strategy_choice_ddp_cpu_slurm(device_count_mock, setup_distributed_mock
     assert trainer.strategy.local_rank == 0
 
 
+@mock.patch("pytorch_lightning.accelerators.tpu.TPUAccelerator.is_available", return_value=True)
 @mock.patch("pytorch_lightning.accelerators.tpu.TPUAccelerator.parse_devices", return_value=8)
-def test_unsupported_tpu_choice(mock_devices):
+def test_unsupported_tpu_choice(mock_devices, mock_tpu_acc_avail):
 
     with pytest.raises(MisconfigurationException, match=r"accelerator='tpu', precision=64\)` is not implemented"):
         Trainer(accelerator="tpu", precision=64)
@@ -915,7 +922,8 @@ def test_unsupported_tpu_choice(mock_devices):
             Trainer(accelerator="tpu", precision=16, amp_backend="apex", strategy="single_device")
 
 
-def test_unsupported_ipu_choice(monkeypatch):
+@mock.patch("pytorch_lightning.accelerators.ipu.IPUAccelerator.is_available", return_value=True)
+def test_unsupported_ipu_choice(mock_ipu_acc_avail, monkeypatch):
     import pytorch_lightning.strategies.ipu as ipu
     import pytorch_lightning.utilities.imports as imports
 
diff --git a/tests/accelerators/test_common.py b/tests/accelerators/test_common.py
index 473546696e..ef8780f698 100644
--- a/tests/accelerators/test_common.py
+++ b/tests/accelerators/test_common.py
@@ -44,6 +44,10 @@ def test_pluggable_accelerator():
         def is_available():
             return True
 
+        @staticmethod
+        def name():
+            return "custom_acc_name"
+
     trainer = Trainer(accelerator=TestAccelerator(), devices=2, strategy="ddp")
     assert isinstance(trainer.accelerator, TestAccelerator)
     assert isinstance(trainer.strategy, DDPStrategy)
diff --git a/tests/accelerators/test_ipu.py b/tests/accelerators/test_ipu.py
index a7829690eb..11d876a3ed 100644
--- a/tests/accelerators/test_ipu.py
+++ b/tests/accelerators/test_ipu.py
@@ -13,6 +13,7 @@
 # limitations under the License.
 import os
 from typing import Optional
+from unittest import mock
 
 import pytest
 import torch
@@ -97,7 +98,8 @@ class IPUClassificationModel(ClassificationModel):
 
 
 @pytest.mark.skipif(_IPU_AVAILABLE, reason="test requires non-IPU machine")
-def test_fail_if_no_ipus(tmpdir):
+@mock.patch("pytorch_lightning.accelerators.ipu.IPUAccelerator.is_available", return_value=True)
+def test_fail_if_no_ipus(mock_ipu_acc_avail, tmpdir):
     with pytest.raises(MisconfigurationException, match="IPU Accelerator requires IPU devices to run"):
         Trainer(default_root_dir=tmpdir, ipus=1)
 
diff --git a/tests/plugins/test_cluster_integration.py b/tests/plugins/test_cluster_integration.py
index a8957d46fb..f482c1ff97 100644
--- a/tests/plugins/test_cluster_integration.py
+++ b/tests/plugins/test_cluster_integration.py
@@ -58,7 +58,8 @@ def environment_combinations():
     "strategy_cls",
     [DDPStrategy, DDPShardedStrategy, DDP2Strategy, pytest.param(DeepSpeedStrategy, marks=RunIf(deepspeed=True))],
 )
-def test_ranks_available_manual_strategy_selection(strategy_cls):
+@mock.patch("pytorch_lightning.accelerators.gpu.GPUAccelerator.is_available", return_value=True)
+def test_ranks_available_manual_strategy_selection(mock_gpu_acc_available, strategy_cls):
     """Test that the rank information is readily available after Trainer initialization."""
     num_nodes = 2
     for cluster, variables, expected in environment_combinations():
diff --git a/tests/trainer/properties/test_estimated_stepping_batches.py b/tests/trainer/properties/test_estimated_stepping_batches.py
index 320dd55692..203aaff65e 100644
--- a/tests/trainer/properties/test_estimated_stepping_batches.py
+++ b/tests/trainer/properties/test_estimated_stepping_batches.py
@@ -13,6 +13,7 @@
 # limitations under the License.
 
 import logging
+from unittest import mock
 
 import pytest
 import torch
@@ -148,7 +149,8 @@ def test_num_stepping_batches_with_tpu(devices, estimated_steps):
     assert trainer.estimated_stepping_batches == estimated_steps
 
 
-def test_num_stepping_batches_with_ipu(monkeypatch):
+@mock.patch("pytorch_lightning.accelerators.ipu.IPUAccelerator.is_available", return_value=True)
+def test_num_stepping_batches_with_ipu(mock_ipu_acc_avail, monkeypatch):
     """Test stepping batches with IPU training which acts like DP."""
     import pytorch_lightning.strategies.ipu as ipu