diff --git a/docs/notifications.md b/docs/notifications.md
index 7c73c5142..7c857fda8 100644
--- a/docs/notifications.md
+++ b/docs/notifications.md
@@ -10,7 +10,7 @@ receive them as JSON-RPC notifications from the server.
 Currently supported events:
  * new block added
 
-   Contents: block. Filters: primary ID.
+   Contents: block. Filters: primary ID, since block index.
  * new transaction in the block
 
    Contents: transaction. Filters: sender and signer.
@@ -57,7 +57,8 @@ omitted if empty).
 Recognized stream names:
  * `block_added`
    Filter: `primary` as an integer with primary (speaker) node index from
-   ConsensusData.
+   ConsensusData and/or `since` as an integer with block index starting from
+   which new block notifications will be received.
  * `transaction_added`
    Filter: `sender` field containing a string with hex-encoded Uint160 (LE
    representation) for transaction's `Sender` and/or `signer` in the same
diff --git a/pkg/neorpc/rpcevent/filter.go b/pkg/neorpc/rpcevent/filter.go
index e2ca74c1b..07f0dc9f7 100644
--- a/pkg/neorpc/rpcevent/filter.go
+++ b/pkg/neorpc/rpcevent/filter.go
@@ -37,7 +37,9 @@ func Matches(f Comparator, r Container) bool {
 	case neorpc.BlockEventID:
 		filt := filter.(neorpc.BlockFilter)
 		b := r.EventPayload().(*block.Block)
-		return int(b.PrimaryIndex) == filt.Primary
+		primaryOk := filt.Primary == nil || *filt.Primary == int(b.PrimaryIndex)
+		sinceOk := filt.Since == nil || *filt.Since <= b.Index
+		return primaryOk && sinceOk
 	case neorpc.TransactionEventID:
 		filt := filter.(neorpc.TxFilter)
 		tx := r.EventPayload().(*transaction.Transaction)
diff --git a/pkg/neorpc/rpcevent/filter_test.go b/pkg/neorpc/rpcevent/filter_test.go
index d16c222e6..71edeb7d1 100644
--- a/pkg/neorpc/rpcevent/filter_test.go
+++ b/pkg/neorpc/rpcevent/filter_test.go
@@ -39,7 +39,10 @@ func (c testContainer) EventPayload() interface{} {
 }
 
 func TestMatches(t *testing.T) {
-	primary := byte(1)
+	primary := 1
+	badPrimary := 2
+	index := uint32(5)
+	badHigherIndex := uint32(6)
 	sender := util.Uint160{1, 2, 3}
 	signer := util.Uint160{4, 5, 6}
 	contract := util.Uint160{7, 8, 9}
@@ -49,7 +52,7 @@ func TestMatches(t *testing.T) {
 	bContainer := testContainer{
 		id: neorpc.BlockEventID,
 		pld: &block.Block{
-			Header: block.Header{PrimaryIndex: primary},
+			Header: block.Header{PrimaryIndex: byte(primary), Index: index},
 		},
 	}
 	st := vmstate.Halt
@@ -106,7 +109,16 @@ func TestMatches(t *testing.T) {
 			name: "block, primary mismatch",
 			comparator: testComparator{
 				id:     neorpc.BlockEventID,
-				filter: neorpc.BlockFilter{Primary: int(primary + 1)},
+				filter: neorpc.BlockFilter{Primary: &badPrimary},
+			},
+			container: bContainer,
+			expected:  false,
+		},
+		{
+			name: "block, since mismatch",
+			comparator: testComparator{
+				id:     neorpc.BlockEventID,
+				filter: neorpc.BlockFilter{Since: &badHigherIndex},
 			},
 			container: bContainer,
 			expected:  false,
@@ -115,7 +127,7 @@ func TestMatches(t *testing.T) {
 			name: "block, filter match",
 			comparator: testComparator{
 				id:     neorpc.BlockEventID,
-				filter: neorpc.BlockFilter{Primary: int(primary)},
+				filter: neorpc.BlockFilter{Primary: &primary, Since: &index},
 			},
 			container: bContainer,
 			expected:  true,
diff --git a/pkg/neorpc/types.go b/pkg/neorpc/types.go
index ff01cbfa7..70bab912c 100644
--- a/pkg/neorpc/types.go
+++ b/pkg/neorpc/types.go
@@ -71,10 +71,12 @@ type (
 		Payload []interface{} `json:"params"`
 	}
 
-	// BlockFilter is a wrapper structure for the block event filter. The only
-	// allowed filter is primary index.
+	// BlockFilter is a wrapper structure for the block event filter. It allows
+	// to filter blocks by primary index and by block index (allowing blocks since
+	// the specified index).
 	BlockFilter struct {
-		Primary int `json:"primary"`
+		Primary *int    `json:"primary,omitempty"`
+		Since   *uint32 `json:"since,omitempty"`
 	}
 	// TxFilter is a wrapper structure for the transaction event filter. It
 	// allows to filter transactions by senders and signers.
diff --git a/pkg/rpcclient/actor/waiter.go b/pkg/rpcclient/actor/waiter.go
index f42707631..21f9a0edf 100644
--- a/pkg/rpcclient/actor/waiter.go
+++ b/pkg/rpcclient/actor/waiter.go
@@ -45,7 +45,7 @@ type (
 	RPCEventWaiter interface {
 		RPCPollingWaiter
 
-		SubscribeForNewBlocksWithChan(primary *int, rcvrCh chan<- rpcclient.Notification) (string, error)
+		SubscribeForNewBlocksWithChan(primary *int, since *uint32, rcvrCh chan<- rpcclient.Notification) (string, error)
 		SubscribeForTransactionExecutionsWithChan(state *string, rcvrCh chan<- rpcclient.Notification) (string, error)
 		Unsubscribe(id string) error
 	}
@@ -138,7 +138,7 @@ func (a *Actor) waitWithWSWaiter(c RPCEventWaiter, h util.Uint256, vub uint32) (
 		}
 		close(rcvr)
 	}()
-	blocksID, err := c.SubscribeForNewBlocksWithChan(nil, rcvr)
+	blocksID, err := c.SubscribeForNewBlocksWithChan(nil, nil, rcvr)
 	if err != nil {
 		wsWaitErr = fmt.Errorf("failed to subscribe for new blocks: %w", err)
 		return
diff --git a/pkg/rpcclient/wsclient.go b/pkg/rpcclient/wsclient.go
index ad68c7d39..9a6d4da90 100644
--- a/pkg/rpcclient/wsclient.go
+++ b/pkg/rpcclient/wsclient.go
@@ -393,22 +393,23 @@ func (c *WSClient) performUnsubscription(id string) error {
 }
 
 // SubscribeForNewBlocks adds subscription for new block events to this instance
-// of the client. It can be filtered by primary consensus node index, nil value doesn't
-// add any filters.
-func (c *WSClient) SubscribeForNewBlocks(primary *int) (string, error) {
-	return c.SubscribeForNewBlocksWithChan(primary, c.Notifications)
+// of the client. It can be filtered by primary consensus node index and/or block
+// index allowing to receive blocks since the specified index only, nil value is
+// treated as missing filter.
+func (c *WSClient) SubscribeForNewBlocks(primary *int, sinceIndex *uint32) (string, error) {
+	return c.SubscribeForNewBlocksWithChan(primary, sinceIndex, c.Notifications)
 }
 
 // SubscribeForNewBlocksWithChan registers provided channel as a receiver for the
 // specified new blocks notifications. The receiver channel must be properly read and
 // drained after usage in order not to block other notification receivers.
 // See SubscribeForNewBlocks for parameter details.
-func (c *WSClient) SubscribeForNewBlocksWithChan(primary *int, rcvrCh chan<- Notification) (string, error) {
+func (c *WSClient) SubscribeForNewBlocksWithChan(primary *int, sinceIndex *uint32, rcvrCh chan<- Notification) (string, error) {
 	params := []interface{}{"block_added"}
 	var flt *neorpc.BlockFilter
-	if primary != nil {
-		flt = &neorpc.BlockFilter{Primary: *primary}
-		params = append(params, *flt)
+	if primary != nil || sinceIndex != nil {
+		flt = &neorpc.BlockFilter{Primary: primary, Since: sinceIndex}
+		params = append(params, flt)
 	}
 	rcvr := notificationReceiver{
 		typ:    neorpc.BlockEventID,
diff --git a/pkg/rpcclient/wsclient_test.go b/pkg/rpcclient/wsclient_test.go
index 1bc396a21..6f6ec9bdf 100644
--- a/pkg/rpcclient/wsclient_test.go
+++ b/pkg/rpcclient/wsclient_test.go
@@ -35,10 +35,10 @@ func TestWSClientSubscription(t *testing.T) {
 	ch := make(chan Notification)
 	var cases = map[string]func(*WSClient) (string, error){
 		"blocks": func(wsc *WSClient) (string, error) {
-			return wsc.SubscribeForNewBlocks(nil)
+			return wsc.SubscribeForNewBlocks(nil, nil)
 		},
 		"blocks_with_custom_ch": func(wsc *WSClient) (string, error) {
-			return wsc.SubscribeForNewBlocksWithChan(nil, ch)
+			return wsc.SubscribeForNewBlocksWithChan(nil, nil, ch)
 		},
 		"transactions": func(wsc *WSClient) (string, error) {
 			return wsc.SubscribeForNewTransactions(nil, nil)
@@ -283,17 +283,49 @@ func TestWSFilteredSubscriptions(t *testing.T) {
 		clientCode func(*testing.T, *WSClient)
 		serverCode func(*testing.T, *params.Params)
 	}{
-		{"blocks",
+		{"blocks primary",
 			func(t *testing.T, wsc *WSClient) {
 				primary := 3
-				_, err := wsc.SubscribeForNewBlocks(&primary)
+				_, err := wsc.SubscribeForNewBlocks(&primary, nil)
 				require.NoError(t, err)
 			},
 			func(t *testing.T, p *params.Params) {
 				param := p.Value(1)
 				filt := new(neorpc.BlockFilter)
 				require.NoError(t, json.Unmarshal(param.RawMessage, filt))
-				require.Equal(t, 3, filt.Primary)
+				require.Equal(t, 3, *filt.Primary)
+				require.Equal(t, (*uint32)(nil), filt.Since)
+			},
+		},
+		{"blocks since",
+			func(t *testing.T, wsc *WSClient) {
+				var since uint32 = 3
+				_, err := wsc.SubscribeForNewBlocks(nil, &since)
+				require.NoError(t, err)
+			},
+			func(t *testing.T, p *params.Params) {
+				param := p.Value(1)
+				filt := new(neorpc.BlockFilter)
+				require.NoError(t, json.Unmarshal(param.RawMessage, filt))
+				require.Equal(t, (*int)(nil), filt.Primary)
+				require.Equal(t, uint32(3), *filt.Since)
+			},
+		},
+		{"blocks primary and since",
+			func(t *testing.T, wsc *WSClient) {
+				var (
+					since   uint32 = 3
+					primary        = 2
+				)
+				_, err := wsc.SubscribeForNewBlocks(&primary, &since)
+				require.NoError(t, err)
+			},
+			func(t *testing.T, p *params.Params) {
+				param := p.Value(1)
+				filt := new(neorpc.BlockFilter)
+				require.NoError(t, json.Unmarshal(param.RawMessage, filt))
+				require.Equal(t, 2, *filt.Primary)
+				require.Equal(t, uint32(3), *filt.Since)
 			},
 		},
 		{"transactions sender",