diff --git a/pkg/innerring/processors/container/process_container.go b/pkg/innerring/processors/container/process_container.go
index 1c4fb5206..d7b0a24ba 100644
--- a/pkg/innerring/processors/container/process_container.go
+++ b/pkg/innerring/processors/container/process_container.go
@@ -66,7 +66,7 @@ func (cp *Processor) checkPutContainer(e *containerEvent.Put) error {
 
 func (cp *Processor) approvePutContainer(e *containerEvent.Put) {
 	// FIXME: here we should bind key to owner if needed
-	err := cp.cnrClient.Put(e.Container(), e.PublicKey(), e.Signature())
+	err := cp.cnrClient.Put(e.Container(), e.PublicKey(), e.Signature(), nil)
 	if err != nil {
 		cp.log.Error("could not approve put container",
 			zap.String("error", err.Error()),
diff --git a/pkg/morph/client/container/put.go b/pkg/morph/client/container/put.go
index 4c6060ac3..5b53c762a 100644
--- a/pkg/morph/client/container/put.go
+++ b/pkg/morph/client/container/put.go
@@ -36,6 +36,13 @@ func (p *PutArgs) SetSignature(v []byte) {
 	p.sig = v
 }
 
+// SetSessionToken sets token of the session
+// within which the container was created
+// in a binary format.
+func (p *PutArgs) SetSessionToken(v []byte) {
+	p.token = v
+}
+
 // Put invokes the call of put container method
 // of NeoFS Container contract.
 func (c *Client) Put(args PutArgs) error {
diff --git a/pkg/morph/client/container/wrapper/container.go b/pkg/morph/client/container/wrapper/container.go
index c922cac30..0abfe33a0 100644
--- a/pkg/morph/client/container/wrapper/container.go
+++ b/pkg/morph/client/container/wrapper/container.go
@@ -33,9 +33,14 @@ func Put(w *Wrapper, cnr *container.Container) (*cid.ID, error) {
 		return nil, fmt.Errorf("can't marshal container: %w", err)
 	}
 
+	binToken, err := cnr.SessionToken().Marshal()
+	if err != nil {
+		return nil, fmt.Errorf("could not marshal session token: %w", err)
+	}
+
 	sig := cnr.Signature()
 
-	err = w.Put(data, sig.Key(), sig.Sign())
+	err = w.Put(data, sig.Key(), sig.Sign(), binToken)
 	if err != nil {
 		return nil, err
 	}
@@ -46,14 +51,14 @@ func Put(w *Wrapper, cnr *container.Container) (*cid.ID, error) {
 	return id, nil
 }
 
-// Put saves binary container with its key and signature
+// Put saves binary container with its session token, key and signature
 // in NeoFS system through Container contract call.
 //
 // Returns calculated container identifier and any error
 // encountered that caused the saving to interrupt.
 //
 // If TryNotary is provided, call notary contract.
-func (w *Wrapper) Put(cnr, key, sig []byte) error {
+func (w *Wrapper) Put(cnr, key, sig, token []byte) error {
 	if len(sig) == 0 || len(key) == 0 {
 		return errNilArgument
 	}
@@ -63,6 +68,7 @@ func (w *Wrapper) Put(cnr, key, sig []byte) error {
 	args.SetContainer(cnr)
 	args.SetSignature(sig)
 	args.SetPublicKey(key)
+	args.SetSessionToken(token)
 
 	err := w.client.Put(args)
 	if err != nil {