diff --git a/qiskit_experiments/database_service/db_experiment_data.py b/qiskit_experiments/database_service/db_experiment_data.py
index 513802d5ce..d0bb3046c1 100644
--- a/qiskit_experiments/database_service/db_experiment_data.py
+++ b/qiskit_experiments/database_service/db_experiment_data.py
@@ -24,6 +24,7 @@
 import contextlib
 from collections import deque
 from datetime import datetime
+import numpy as np
 
 from matplotlib import pyplot
 from qiskit.providers import Job, BaseJob, Backend, BaseBackend, Provider
@@ -1218,7 +1219,7 @@ def tags(self, new_tags: List[str]) -> None:
             raise DbExperimentDataError(
                 f"The `tags` field of {type(self).__name__} must be a list."
             )
-        self._tags = new_tags
+        self._tags = np.unique(new_tags).tolist()
         if self.auto_save:
             self.save_metadata()
 
@@ -1297,7 +1298,7 @@ def figure_names(self) -> List[str]:
 
     @property
     def share_level(self) -> str:
-        """Return the share level fo this experiment.
+        """Return the share level for this experiment
 
         Returns:
             Experiment share level.
@@ -1306,7 +1307,8 @@ def share_level(self) -> str:
 
     @share_level.setter
     def share_level(self, new_level: str) -> None:
-        """Set the experiment share level.
+        """Set the experiment share level,
+           only to this experiment and not to its descendants.
 
         Args:
             new_level: New experiment share level. Valid share levels are provider-
@@ -1348,7 +1350,7 @@ def service(self) -> Optional[DatabaseServiceV1]:
 
     @service.setter
     def service(self, service: DatabaseServiceV1) -> None:
-        """Set the service to be used for storing experiment data.
+        """Set the service to be used for storing experiment data
 
         Args:
             service: Service to be used.
@@ -1359,7 +1361,8 @@ def service(self, service: DatabaseServiceV1) -> None:
         self._set_service(service)
 
     def _set_service(self, service: DatabaseServiceV1) -> None:
-        """Set the service to be used for storing experiment data.
+        """Set the service to be used for storing experiment data,
+           to this experiment only and not to its descendants
 
         Args:
             service: Service to be used.
diff --git a/qiskit_experiments/framework/composite/composite_analysis.py b/qiskit_experiments/framework/composite/composite_analysis.py
index 6841f6c19f..b37fbc04b3 100644
--- a/qiskit_experiments/framework/composite/composite_analysis.py
+++ b/qiskit_experiments/framework/composite/composite_analysis.py
@@ -39,7 +39,7 @@ class CompositeAnalysis(BaseAnalysis):
         composite :class:`ExperimentData`.
 
         When calling :meth:`run` on experiment data already containing
-        initalized component experiment child data, any previously stored
+        initialized component experiment child data, any previously stored
         circuit data will be cleared and replaced with the marginalized data
         reconstructed from the parent composite experiment data.
     """
diff --git a/qiskit_experiments/framework/experiment_data.py b/qiskit_experiments/framework/experiment_data.py
index bfaa650a47..09b1ed6a8d 100644
--- a/qiskit_experiments/framework/experiment_data.py
+++ b/qiskit_experiments/framework/experiment_data.py
@@ -183,7 +183,8 @@ def _set_child_data(self, child_data: List[ExperimentData]):
             self.add_child_data(data)
 
     def _set_service(self, service: DatabaseService) -> None:
-        """Set the service to be used for storing experiment data.
+        """Set the service to be used for storing experiment data,
+           to this experiment itself and its descendants.
 
         Args:
             service: Service to be used.
@@ -197,7 +198,8 @@ def _set_service(self, service: DatabaseService) -> None:
 
     @DbExperimentData.share_level.setter
     def share_level(self, new_level: str) -> None:
-        """Set the experiment share level.
+        """Set the experiment share level,
+           to this experiment itself and its descendants.
 
         Args:
             new_level: New experiment share level. Valid share levels are provider-
@@ -227,6 +229,26 @@ def block_for_results(self, timeout: Optional[float] = None) -> ExperimentData:
             _, timeout = combined_timeout(subdata.block_for_results, timeout)
         return self
 
+    def add_tags_recursive(self, tags2add: List[str]) -> None:
+        """Add tags to this experiment itself and its descendants
+
+        Args:
+            tags2add - the tags that will be added to the existing tags
+        """
+        self.tags += tags2add
+        for data in self._child_data.values():
+            data.add_tags_recursive(tags2add)
+
+    def remove_tags_recursive(self, tags2remove: List[str]) -> None:
+        """Remove tags from this experiment itself and its descendants
+
+        Args:
+            tags2remove - the tags that will be removed from the existing tags
+        """
+        self.tags = [x for x in self.tags if x not in tags2remove]
+        for data in self._child_data.values():
+            data.remove_tags_recursive(tags2remove)
+
     def __repr__(self):
         out = (
             f"<ExperimentData[{self.experiment_type}]"
diff --git a/releasenotes/notes/add-remove-tags-9fa798ccad0f5c6a.yaml b/releasenotes/notes/add-remove-tags-9fa798ccad0f5c6a.yaml
new file mode 100644
index 0000000000..b3713b84af
--- /dev/null
+++ b/releasenotes/notes/add-remove-tags-9fa798ccad0f5c6a.yaml
@@ -0,0 +1,4 @@
+---
+features:
+  - |
+    New methods `add_tags_recursive` and `remove_tags_recursive` for adding and removing tags of an experiment data object and recursively all its descendants (if it is composite).
diff --git a/test/test_composite.py b/test/test_composite.py
index 832fdb081d..197377b9c7 100644
--- a/test/test_composite.py
+++ b/test/test_composite.py
@@ -209,6 +209,34 @@ def test_analysis_replace_results_false(self):
         for sub1, sub2 in zip(data1.child_data(), data2.child_data()):
             self.assertNotEqual(sub1.experiment_id, sub2.experiment_id)
 
+    def test_composite_tags(self):
+        """
+        Test the tags setter, add_tags_recursive, remove_tags_recursive
+        """
+        exp1 = FakeExperiment([0, 2])
+        exp2 = FakeExperiment([1, 3])
+        par_exp = BatchExperiment([exp1, exp2])
+        expdata = par_exp.run(FakeBackend()).block_for_results()
+        data1 = expdata.child_data(0)
+        data2 = expdata.child_data(1)
+
+        expdata.tags = ["a", "c", "a"]
+        data1.tags = ["b"]
+        print(expdata.tags)
+        self.assertEqual(sorted(expdata.tags), ["a", "c"])
+        self.assertEqual(sorted(data1.tags), ["b"])
+        self.assertEqual(sorted(data2.tags), [])
+
+        expdata.add_tags_recursive(["d", "c"])
+        self.assertEqual(sorted(expdata.tags), ["a", "c", "d"])
+        self.assertEqual(sorted(data1.tags), ["b", "c", "d"])
+        self.assertEqual(sorted(data2.tags), ["c", "d"])
+
+        expdata.remove_tags_recursive(["a", "b"])
+        self.assertEqual(sorted(expdata.tags), ["c", "d"])
+        self.assertEqual(sorted(data1.tags), ["c", "d"])
+        self.assertEqual(sorted(data2.tags), ["c", "d"])
+
     def test_composite_subexp_data(self):
         """
         Verify that sub-experiment data of parallel and batch