diff --git a/openraft/src/core/install_snapshot.rs b/openraft/src/core/install_snapshot.rs
index d16a2534d..d71fd8f65 100644
--- a/openraft/src/core/install_snapshot.rs
+++ b/openraft/src/core/install_snapshot.rs
@@ -40,6 +40,7 @@ impl<D: AppData, R: AppDataResponse, N: RaftNetwork<D>, S: RaftStorage<D, R>> Ra
         if req.term < self.current_term {
             return Ok(InstallSnapshotResponse {
                 term: self.current_term,
+                last_applied: None,
             });
         }
 
@@ -134,6 +135,7 @@ impl<D: AppData, R: AppDataResponse, N: RaftNetwork<D>, S: RaftStorage<D, R>> Ra
             self.finalize_snapshot_installation(req, snapshot).await?;
             return Ok(InstallSnapshotResponse {
                 term: self.current_term,
+                last_applied: self.last_applied,
             });
         }
 
@@ -145,6 +147,7 @@ impl<D: AppData, R: AppDataResponse, N: RaftNetwork<D>, S: RaftStorage<D, R>> Ra
         });
         Ok(InstallSnapshotResponse {
             term: self.current_term,
+            last_applied: None,
         })
     }
 
@@ -188,6 +191,7 @@ impl<D: AppData, R: AppDataResponse, N: RaftNetwork<D>, S: RaftStorage<D, R>> Ra
         }
         Ok(InstallSnapshotResponse {
             term: self.current_term,
+            last_applied: self.last_applied,
         })
     }
 
@@ -224,7 +228,14 @@ impl<D: AppData, R: AppDataResponse, N: RaftNetwork<D>, S: RaftStorage<D, R>> Ra
         // --------------------------------------------------------------------> time
         // ```
 
-        // TODO(xp): do not install if self.last_applied >= snapshot.meta.last_applied
+        if req.meta.last_log_id < self.last_applied {
+            tracing::info!(
+                "skip installing snapshot because snapshot_meta.last_log_id({}) <= self.last_applied({})",
+                req.meta.last_log_id.summary(),
+                self.last_applied.summary(),
+            );
+            return Ok(());
+        }
 
         let changes = self.storage.install_snapshot(&req.meta, snapshot).await?;
 
@@ -253,7 +264,7 @@ impl<D: AppData, R: AppDataResponse, N: RaftNetwork<D>, S: RaftStorage<D, R>> Ra
 
         // There could be unknown membership in the snapshot.
         let membership = StorageHelper::new(&self.storage).get_membership().await?;
-        tracing::info!("refetch membership from store: {:?}", membership);
+        tracing::info!("re-fetch membership from store: {:?}", membership);
 
         assert!(membership.is_some());
 
diff --git a/openraft/src/replication/mod.rs b/openraft/src/replication/mod.rs
index a7783f6c9..6eafde8f6 100644
--- a/openraft/src/replication/mod.rs
+++ b/openraft/src/replication/mod.rs
@@ -887,13 +887,20 @@ impl<D: AppData, R: AppDataResponse, N: RaftNetwork<D>, S: RaftStorage<D, R>> Re
             // If we just sent the final chunk of the snapshot, then transition to lagging state.
             if done {
                 tracing::info!(
-                    "done install snapshot: snapshot last_log_id: {:?}, matched: {:?}",
+                    "done install snapshot: snapshot last_log_id: {:?}, self.matched: {:?}, remote last_applied: {:?}",
                     snapshot.meta.last_log_id,
                     self.matched,
+                    res.last_applied,
                 );
 
-                self.update_matched(snapshot.meta.last_log_id);
+                // In previous version a node that does return `last_applied`.
+                let matched = if res.last_applied.is_some() {
+                    res.last_applied
+                } else {
+                    snapshot.meta.last_log_id
+                };
 
+                self.update_matched(matched);
                 return Ok(());
             }
 
diff --git a/openraft/src/types/v070/log_id.rs b/openraft/src/types/v070/log_id.rs
index 4c0348e14..383dc0995 100644
--- a/openraft/src/types/v070/log_id.rs
+++ b/openraft/src/types/v070/log_id.rs
@@ -1,6 +1,8 @@
 use serde::Deserialize;
 use serde::Serialize;
 
+use crate::MessageSummary;
+
 /// The identity of a raft log.
 /// A term and an index identifies an log globally.
 #[derive(Debug, Default, Copy, Clone, PartialOrd, Ord, PartialEq, Eq, Serialize, Deserialize)]
@@ -8,3 +10,14 @@ pub struct LogId {
     pub term: u64,
     pub index: u64,
 }
+
+impl MessageSummary for Option<LogId> {
+    fn summary(&self) -> String {
+        match self {
+            None => "None".to_string(),
+            Some(log_id) => {
+                format!("{}", log_id)
+            }
+        }
+    }
+}
diff --git a/openraft/src/types/v070/rpc.rs b/openraft/src/types/v070/rpc.rs
index 2b67cae37..7720d5c41 100644
--- a/openraft/src/types/v070/rpc.rs
+++ b/openraft/src/types/v070/rpc.rs
@@ -89,6 +89,12 @@ pub struct InstallSnapshotRequest {
 pub struct InstallSnapshotResponse {
     /// The receiving node's current term, for leader to update itself.
     pub term: u64,
+
+    /// The last applied log id after snapshot being installed.
+    ///
+    /// A node may choose not to install a snapshot if it already has a greater `last_applied`.
+    /// In this case, it just returns the `last_applied`.
+    pub last_applied: Option<LogId>,
 }
 
 /// The response to a `ClientRequest`.