diff --git a/changelog.d/16361.feature b/changelog.d/16361.feature
new file mode 100644
index 000000000000..632fff789be5
--- /dev/null
+++ b/changelog.d/16361.feature
@@ -0,0 +1 @@
+Experimental support for [MSC4028](https://github.com/matrix-org/matrix-spec-proposals/pull/4028) to push all encrypted events to clients.
diff --git a/rust/benches/evaluator.rs b/rust/benches/evaluator.rs
index 14071105a05b..6e1eab2a3b29 100644
--- a/rust/benches/evaluator.rs
+++ b/rust/benches/evaluator.rs
@@ -197,6 +197,7 @@ fn bench_eval_message(b: &mut Bencher) {
         false,
         false,
         false,
+        false,
     );
 
     b.iter(|| eval.run(&rules, Some("bob"), Some("person")));
diff --git a/rust/src/push/base_rules.rs b/rust/src/push/base_rules.rs
index 59fd27665aee..cebc2c079bba 100644
--- a/rust/src/push/base_rules.rs
+++ b/rust/src/push/base_rules.rs
@@ -63,6 +63,19 @@ pub const BASE_PREPEND_OVERRIDE_RULES: &[PushRule] = &[PushRule {
 }];
 
 pub const BASE_APPEND_OVERRIDE_RULES: &[PushRule] = &[
+    PushRule {
+        rule_id: Cow::Borrowed("global/override/.org.matrix.msc4028.encrypted_event"),
+        priority_class: 5,
+        conditions: Cow::Borrowed(&[Condition::Known(KnownCondition::EventMatch(
+            EventMatchCondition {
+                key: Cow::Borrowed("type"),
+                pattern: Cow::Borrowed("m.room.encrypted"),
+            },
+        ))]),
+        actions: Cow::Borrowed(&[Action::Notify]),
+        default: true,
+        default_enabled: false,
+    },
     PushRule {
         rule_id: Cow::Borrowed("global/override/.m.rule.suppress_notices"),
         priority_class: 5,
diff --git a/rust/src/push/evaluator.rs b/rust/src/push/evaluator.rs
index 5b9bf9b26ae1..48e670478bf7 100644
--- a/rust/src/push/evaluator.rs
+++ b/rust/src/push/evaluator.rs
@@ -564,7 +564,7 @@ fn test_requires_room_version_supports_condition() {
     };
     let rules = PushRules::new(vec![custom_rule]);
     result = evaluator.run(
-        &FilteredPushRules::py_new(rules, BTreeMap::new(), true, false, true),
+        &FilteredPushRules::py_new(rules, BTreeMap::new(), true, false, true, false),
         None,
         None,
     );
diff --git a/rust/src/push/mod.rs b/rust/src/push/mod.rs
index 8e91f506cc42..5e1e8e1abbec 100644
--- a/rust/src/push/mod.rs
+++ b/rust/src/push/mod.rs
@@ -527,6 +527,7 @@ pub struct FilteredPushRules {
     msc1767_enabled: bool,
     msc3381_polls_enabled: bool,
     msc3664_enabled: bool,
+    msc4028_push_encrypted_events: bool,
 }
 
 #[pymethods]
@@ -538,6 +539,7 @@ impl FilteredPushRules {
         msc1767_enabled: bool,
         msc3381_polls_enabled: bool,
         msc3664_enabled: bool,
+        msc4028_push_encrypted_events: bool,
     ) -> Self {
         Self {
             push_rules,
@@ -545,6 +547,7 @@ impl FilteredPushRules {
             msc1767_enabled,
             msc3381_polls_enabled,
             msc3664_enabled,
+            msc4028_push_encrypted_events,
         }
     }
 
@@ -581,6 +584,12 @@ impl FilteredPushRules {
                     return false;
                 }
 
+                if !self.msc4028_push_encrypted_events
+                    && rule.rule_id == "global/override/.org.matrix.msc4028.encrypted_event"
+                {
+                    return false;
+                }
+
                 true
             })
             .map(|r| {
diff --git a/stubs/synapse/synapse_rust/push.pyi b/stubs/synapse/synapse_rust/push.pyi
index 1f432d4ecfbf..25259ce91ddf 100644
--- a/stubs/synapse/synapse_rust/push.pyi
+++ b/stubs/synapse/synapse_rust/push.pyi
@@ -46,6 +46,7 @@ class FilteredPushRules:
         msc1767_enabled: bool,
         msc3381_polls_enabled: bool,
         msc3664_enabled: bool,
+        msc4028_push_encrypted_events: bool,
     ): ...
     def rules(self) -> Collection[Tuple[PushRule, bool]]: ...
 
diff --git a/synapse/config/experimental.py b/synapse/config/experimental.py
index cabe0d4397cd..9f830e709410 100644
--- a/synapse/config/experimental.py
+++ b/synapse/config/experimental.py
@@ -415,3 +415,7 @@ def read_config(self, config: JsonDict, **kwargs: Any) -> None:
         LimitExceededError.include_retry_after_header = experimental.get(
             "msc4041_enabled", False
         )
+
+        self.msc4028_push_encrypted_events = experimental.get(
+            "msc4028_push_encrypted_events", False
+        )
diff --git a/synapse/storage/databases/main/push_rule.py b/synapse/storage/databases/main/push_rule.py
index af69944008e1..923166974c4b 100644
--- a/synapse/storage/databases/main/push_rule.py
+++ b/synapse/storage/databases/main/push_rule.py
@@ -88,6 +88,7 @@ def _load_rules(
         msc1767_enabled=experimental_config.msc1767_enabled,
         msc3664_enabled=experimental_config.msc3664_enabled,
         msc3381_polls_enabled=experimental_config.msc3381_polls_enabled,
+        msc4028_push_encrypted_events=experimental_config.msc4028_push_encrypted_events,
     )
 
     return filtered_rules