diff --git a/pytorch_lightning/callbacks/model_checkpoint.py b/pytorch_lightning/callbacks/model_checkpoint.py
index 7707f8a377..d12752eabf 100644
--- a/pytorch_lightning/callbacks/model_checkpoint.py
+++ b/pytorch_lightning/callbacks/model_checkpoint.py
@@ -344,6 +344,10 @@ class ModelCheckpoint(Callback):
             "best_model_path": self.best_model_path,
             "current_score": self.current_score,
             "dirpath": self.dirpath,
+            "best_k_models": self.best_k_models,
+            "kth_best_model_path": self.kth_best_model_path,
+            "kth_value": self.kth_value,
+            "last_model_path": self.last_model_path,
         }
 
     def on_load_checkpoint(
@@ -351,6 +355,10 @@ class ModelCheckpoint(Callback):
     ) -> None:
         self.best_model_score = callback_state["best_model_score"]
         self.best_model_path = callback_state["best_model_path"]
+        self.best_k_models = callback_state.get("best_k_models", self.best_k_models)
+        self.kth_best_model_path = callback_state.get("kth_best_model_path", self.kth_best_model_path)
+        self.kth_value = callback_state.get("kth_value", self.kth_value)
+        self.last_model_path = callback_state.get("last_model_path", self.last_model_path)
 
     def save_checkpoint(self, trainer: "pl.Trainer") -> None:
         """Performs the main logic around saving a checkpoint.
diff --git a/tests/checkpointing/test_model_checkpoint.py b/tests/checkpointing/test_model_checkpoint.py
index fa08057733..a332490585 100644
--- a/tests/checkpointing/test_model_checkpoint.py
+++ b/tests/checkpointing/test_model_checkpoint.py
@@ -1202,3 +1202,37 @@ def test_check_val_every_n_epochs_top_k_integration(tmpdir):
     )
     trainer.fit(model)
     assert set(os.listdir(tmpdir)) == {"epoch=1.ckpt", "epoch=3.ckpt"}
+
+
+def test_model_checkpoint_saveload_ckpt(tmpdir):
+    ckpt = {
+        "monitor": "random_value",
+        "best_model_path": "epoch=10-step=1436.ckpt",
+        "best_model_score": torch.tensor(2.246),
+        "current_score": torch.tensor(1.5),
+        "dirpath": tmpdir,
+        "best_k_models": {"epoch=10-step=1436.ckpt": torch.tensor(2.246)},
+        "kth_best_model_path": "epoch=10-step=1436.ckpt",
+        "kth_value": torch.tensor(2.246),
+        "last_model_path": "last2245.ckpt",
+    }
+
+    # test on_save_checkpoint
+    cb_write = ModelCheckpoint(dirpath=tmpdir, monitor="random_value", save_top_k=-1, save_last=True)
+    for key, val in ckpt.items():
+        setattr(cb_write, key, val)
+    written_ckpt = cb_write.on_save_checkpoint("", "", "")
+    for state in ckpt:
+        assert ckpt[state] == written_ckpt[state]
+
+    # test on_load_checkpoint
+    # Note: "current_score", "dirpath" and "monitor" are currently not restored by on_load_checkpoint.
+    # We therefore set "dirpath" and "monitor" to something different than for ckpt/cb_write so we can assert them.
+    # "current_score" is left as initialized, i.e. None, and can therefore also be asserted
+    cb_restore = ModelCheckpoint(dirpath=tmpdir + "restore", monitor=None, save_top_k=-1, save_last=True)
+    cb_restore.on_load_checkpoint("", "", written_ckpt)
+    for key, val in written_ckpt.items():
+        if key not in ("current_score", "dirpath", "monitor"):
+            assert getattr(cb_restore, key) == val
+        else:
+            assert getattr(cb_restore, key) != val
diff --git a/tests/models/test_restore.py b/tests/models/test_restore.py
index b801041410..9d6ecb08cd 100644
--- a/tests/models/test_restore.py
+++ b/tests/models/test_restore.py
@@ -269,8 +269,15 @@ def test_callbacks_state_fit_ckpt_path(tmpdir):
 
     for before, after in zip(callbacks_before_resume, callback_capture.callbacks):
         if isinstance(before, ModelCheckpoint):
-            assert before.best_model_path == after.best_model_path
-            assert before.best_model_score == after.best_model_score
+            for attribute in (
+                "best_model_path",
+                "best_model_score",
+                "best_k_models",
+                "kth_best_model_path",
+                "kth_value",
+                "last_model_path",
+            ):
+                assert getattr(before, attribute) == getattr(after, attribute)
 
 
 def test_callbacks_references_fit_ckpt_path(tmpdir):