diff --git a/pkg/morph/event/container/estimates.go b/pkg/morph/event/container/estimates.go
new file mode 100644
index 0000000000..fbe88175fb
--- /dev/null
+++ b/pkg/morph/event/container/estimates.go
@@ -0,0 +1,66 @@
+package container
+
+import (
+	"github.com/nspcc-dev/neo-go/pkg/vm/stackitem"
+	"github.com/nspcc-dev/neofs-node/pkg/morph/client"
+	"github.com/nspcc-dev/neofs-node/pkg/morph/event"
+	"github.com/pkg/errors"
+)
+
+// StartEstimation structure of container.StartEstimation notification from
+// morph chain.
+type StartEstimation struct {
+	epoch uint64
+}
+
+// StopEstimation structure of container.StopEstimation notification from
+// morph chain.
+type StopEstimation struct {
+	epoch uint64
+}
+
+// MorphEvent implements Neo:Morph Event interface.
+func (StartEstimation) MorphEvent() {}
+
+// MorphEvent implements Neo:Morph Event interface.
+func (StopEstimation) MorphEvent() {}
+
+// Epoch returns epoch value for which to start container size estimation.
+func (s StartEstimation) Epoch() uint64 { return s.epoch }
+
+// Epoch returns epoch value for which to stop container size estimation.
+func (s StopEstimation) Epoch() uint64 { return s.epoch }
+
+// ParseStartEstimation from notification into container event structure.
+func ParseStartEstimation(params []stackitem.Item) (event.Event, error) {
+	epoch, err := parseEstimation(params)
+	if err != nil {
+		return nil, err
+	}
+
+	return StartEstimation{epoch: epoch}, nil
+}
+
+// ParseStopEstimation from notification into container event structure.
+func ParseStopEstimation(params []stackitem.Item) (event.Event, error) {
+	epoch, err := parseEstimation(params)
+	if err != nil {
+		return nil, err
+	}
+
+	return StopEstimation{epoch: epoch}, nil
+}
+
+func parseEstimation(params []stackitem.Item) (uint64, error) {
+	if ln := len(params); ln != 1 {
+		return 0, event.WrongNumberOfParameters(1, ln)
+	}
+
+	// parse container
+	epoch, err := client.IntFromStackItem(params[0])
+	if err != nil {
+		return 0, errors.Wrap(err, "could not get estimation epoch")
+	}
+
+	return uint64(epoch), nil
+}
diff --git a/pkg/morph/event/container/estimates_test.go b/pkg/morph/event/container/estimates_test.go
new file mode 100644
index 0000000000..5a117bcac4
--- /dev/null
+++ b/pkg/morph/event/container/estimates_test.go
@@ -0,0 +1,80 @@
+package container
+
+import (
+	"math/big"
+	"testing"
+
+	"github.com/nspcc-dev/neo-go/pkg/vm/stackitem"
+	"github.com/nspcc-dev/neofs-node/pkg/morph/event"
+	"github.com/stretchr/testify/require"
+)
+
+func TestStartEstimation(t *testing.T) {
+	var epochNum uint64 = 100
+	epochItem := stackitem.NewBigInteger(new(big.Int).SetUint64(epochNum))
+
+	t.Run("wrong number of parameters", func(t *testing.T) {
+		prms := []stackitem.Item{
+			stackitem.NewMap(),
+			stackitem.NewMap(),
+		}
+
+		_, err := ParseStartEstimation(prms)
+		require.EqualError(t, err, event.WrongNumberOfParameters(1, len(prms)).Error())
+	})
+
+	t.Run("wrong estimation parameter", func(t *testing.T) {
+		_, err := ParseStartEstimation([]stackitem.Item{
+			stackitem.NewMap(),
+		})
+
+		require.Error(t, err)
+	})
+
+	t.Run("correct behavior", func(t *testing.T) {
+		ev, err := ParseStartEstimation([]stackitem.Item{
+			epochItem,
+		})
+
+		require.NoError(t, err)
+
+		require.Equal(t, StartEstimation{
+			epochNum,
+		}, ev)
+	})
+}
+
+func TestStopEstimation(t *testing.T) {
+	var epochNum uint64 = 100
+	epochItem := stackitem.NewBigInteger(new(big.Int).SetUint64(epochNum))
+
+	t.Run("wrong number of parameters", func(t *testing.T) {
+		prms := []stackitem.Item{
+			stackitem.NewMap(),
+			stackitem.NewMap(),
+		}
+
+		_, err := ParseStopEstimation(prms)
+		require.EqualError(t, err, event.WrongNumberOfParameters(1, len(prms)).Error())
+	})
+
+	t.Run("wrong estimation parameter", func(t *testing.T) {
+		_, err := ParseStopEstimation([]stackitem.Item{
+			stackitem.NewMap(),
+		})
+
+		require.Error(t, err)
+	})
+
+	t.Run("correct behavior", func(t *testing.T) {
+		ev, err := ParseStopEstimation([]stackitem.Item{
+			epochItem,
+		})
+
+		require.NoError(t, err)
+
+		require.Equal(t, StopEstimation{
+			epochNum,
+		}, ev)
+	})
+}