diff --git a/project_milestone/models/project.py b/project_milestone/models/project.py
index 4716e5d406..8a84ac9033 100644
--- a/project_milestone/models/project.py
+++ b/project_milestone/models/project.py
@@ -17,3 +17,25 @@ class Project(models.Model):
     def _onchange_use_milestones(self):
         if not self.use_milestones and self.milestones_required:
             self.milestones_required = False
+
+    @api.returns("self", lambda value: value.id)
+    def copy(self, default=None):
+        project = super(Project, self).copy(default)
+        project._link_tasks_to_milestones()
+        return project
+
+    def _link_tasks_to_milestones(self):
+        for task in self.with_context(active_test=False).task_ids.filtered(
+            "milestone_id"
+        ):
+            task.milestone_id = self._find_equivalent_milestone(task.milestone_id)
+
+    def _find_equivalent_milestone(self, milestone):
+        return next(
+            (
+                m
+                for m in self.with_context(active_test=False).milestone_ids
+                if m.name == milestone.name
+            ),
+            None,
+        )
diff --git a/project_milestone/tests/test_project_milestone.py b/project_milestone/tests/test_project_milestone.py
index 7a63940faf..dafd4c9f7c 100644
--- a/project_milestone/tests/test_project_milestone.py
+++ b/project_milestone/tests/test_project_milestone.py
@@ -65,3 +65,12 @@ def test_sub_task(self):
         with Form(Task) as task:
             task.project_id = self.test_project
             task.name = "SubTask"
+
+    def test_copy_project(self):
+        project = self.test_project.copy({})
+        tasks = project.with_context(active_test=False).task_ids
+        milestone = project.milestone_ids.filtered(
+            lambda milestone: "2" not in milestone.name
+        )
+        self.assertEqual(tasks[0].milestone_id, milestone)
+        self.assertEqual(tasks[1].milestone_id, milestone)