diff --git a/ecdh/ecdh.go b/ecdh/ecdh.go
index d2c115e..acc4bbe 100644
--- a/ecdh/ecdh.go
+++ b/ecdh/ecdh.go
@@ -66,6 +66,10 @@ type Curve interface {
 }
 
 // PublicKey is an ECDH public key, usually a peer's ECDH share sent over the wire.
+//
+// These keys can be parsed with [smx509.ParsePKIXPublicKey] and encoded
+// with [smx509.MarshalPKIXPublicKey]. For SM2 curve, it then needs to
+// be converted with [sm2.PublicKeyToECDH] after parsing.
 type PublicKey struct {
 	curve     Curve
 	publicKey []byte
@@ -129,6 +133,10 @@ func (uv *PublicKey) SM2SharedKey(isResponder bool, kenLen int, sPub, sRemote *P
 }
 
 // PrivateKey is an ECDH private key, usually kept secret.
+//
+// These keys can be parsed with [smx509.ParsePKCS8PrivateKey] and encoded
+// with [smx509.MarshalPKCS8PrivateKey]. For SM2 curve, it then needs to
+// be converted with [sm2.PrivateKey.ECDH] after parsing.
 type PrivateKey struct {
 	curve      Curve
 	privateKey []byte
diff --git a/sm2/sm2.go b/sm2/sm2.go
index daeafd5..68382ac 100644
--- a/sm2/sm2.go
+++ b/sm2/sm2.go
@@ -22,6 +22,7 @@ import (
 	"math/big"
 	"strings"
 
+	"github.com/emmansun/gmsm/ecdh"
 	"github.com/emmansun/gmsm/internal/randutil"
 	"github.com/emmansun/gmsm/internal/subtle"
 	"github.com/emmansun/gmsm/kdf"
@@ -869,3 +870,41 @@ func IsSM2PublicKey(publicKey interface{}) bool {
 func P256() elliptic.Curve {
 	return sm2ec.P256()
 }
+
+// PublicKeyToECDH returns k as a [ecdh.PublicKey]. It returns an error if the key is
+// invalid according to the definition of [ecdh.Curve.NewPublicKey], or if the
+// Curve is not supported by ecdh.
+func PublicKeyToECDH(k *ecdsa.PublicKey) (*ecdh.PublicKey, error) {
+	c := curveToECDH(k.Curve)
+	if c == nil {
+		return nil, errors.New("sm2: unsupported curve by ecdh")
+	}
+	if !k.Curve.IsOnCurve(k.X, k.Y) {
+		return nil, errors.New("sm2: invalid public key")
+	}
+	return c.NewPublicKey(elliptic.Marshal(k.Curve, k.X, k.Y))
+}
+
+// ECDH returns k as a [ecdh.PrivateKey]. It returns an error if the key is
+// invalid according to the definition of [ecdh.Curve.NewPrivateKey], or if the
+// Curve is not supported by ecdh.
+func (k *PrivateKey) ECDH() (*ecdh.PrivateKey, error) {
+	c := curveToECDH(k.Curve)
+	if c == nil {
+		return nil, errors.New("sm2: unsupported curve by ecdh")
+	}
+	size := (k.Curve.Params().N.BitLen() + 7) / 8
+	if k.D.BitLen() > size*8 {
+		return nil, errors.New("sm2: invalid private key")
+	}
+	return c.NewPrivateKey(k.D.FillBytes(make([]byte, size)))
+}
+
+func curveToECDH(c elliptic.Curve) ecdh.Curve {
+	switch c {
+	case sm2ec.P256():
+		return ecdh.P256()
+	default:
+		return nil
+	}
+}
diff --git a/smx509/pkcs8.go b/smx509/pkcs8.go
index cda03f4..0ce6bd6 100644
--- a/smx509/pkcs8.go
+++ b/smx509/pkcs8.go
@@ -7,6 +7,7 @@ import (
 	"encoding/asn1"
 	"errors"
 
+	"github.com/emmansun/gmsm/ecdh"
 	"github.com/emmansun/gmsm/sm2"
 	"github.com/emmansun/gmsm/sm9"
 )
@@ -29,7 +30,7 @@ type pkcs8 struct {
 
 // ParsePKCS8PrivateKey parses an unencrypted private key in PKCS #8, ASN.1 DER form.
 //
-// It returns a *rsa.PrivateKey, a *ecdsa.PrivateKey, a *sm2.PrivateKey, a *sm9.SignMasterPrivateKey, 
+// It returns a *rsa.PrivateKey, a *ecdsa.PrivateKey, a *sm2.PrivateKey, a *sm9.SignMasterPrivateKey,
 // a *sm9.SignPrivateKey, a *sm9.EncryptMasterPrivateKey, a *sm9.EncryptPrivateKey or a ed25519.PrivateKey.
 // More types might be supported in the future.
 //
@@ -117,8 +118,8 @@ func parseSM9PrivateKey(privKey pkcs8) (key interface{}, err error) {
 
 // MarshalPKCS8PrivateKey converts a private key to PKCS #8, ASN.1 DER form.
 //
-// The following key types are currently supported: *rsa.PrivateKey, *ecdsa.PrivateKey, a *sm2.PrivateKey, 
-// a *sm9.SignMasterPrivateKey, a *sm9.SignPrivateKey, a *sm9.EncryptMasterPrivateKey, a *sm9.EncryptPrivateKey 
+// The following key types are currently supported: *rsa.PrivateKey, *ecdsa.PrivateKey, a *sm2.PrivateKey, a *ecdh.PrivateKey
+// a *sm9.SignMasterPrivateKey, a *sm9.SignPrivateKey, a *sm9.EncryptMasterPrivateKey, a *sm9.EncryptPrivateKey
 // and ed25519.PrivateKey. Unsupported key types result in an error.
 //
 // This kind of key is commonly encoded in PEM blocks of type "PRIVATE KEY".
@@ -126,6 +127,8 @@ func MarshalPKCS8PrivateKey(key interface{}) ([]byte, error) {
 	switch k := key.(type) {
 	case *sm2.PrivateKey:
 		return marshalPKCS8ECPrivateKey(&k.PrivateKey)
+	case *ecdh.PrivateKey:
+		return marshalPKCS8ECDHPrivateKey(k)
 	case *sm9.SignPrivateKey:
 		return marshalPKCS8SM9SignPrivateKey(k)
 	case *sm9.EncryptPrivateKey:
@@ -280,3 +283,25 @@ func marshalPKCS8ECPrivateKey(k *ecdsa.PrivateKey) ([]byte, error) {
 	}
 	return asn1.Marshal(privKey)
 }
+
+func marshalPKCS8ECDHPrivateKey(k *ecdh.PrivateKey) ([]byte, error) {
+	var privKey pkcs8
+	oid, ok := oidFromECDHCurve(k.Curve())
+	if !ok {
+		return nil, errors.New("x509: unknown curve while marshaling to PKCS#8")
+	}
+	oidBytes, err := asn1.Marshal(oid)
+	if err != nil {
+		return nil, errors.New("x509: failed to marshal curve OID: " + err.Error())
+	}
+	privKey.Algo = pkix.AlgorithmIdentifier{
+		Algorithm: oidPublicKeyECDSA,
+		Parameters: asn1.RawValue{
+			FullBytes: oidBytes,
+		},
+	}
+	if privKey.PrivateKey, err = marshalECDHPrivateKey(k); err != nil {
+		return nil, errors.New("x509: failed to marshal EC private key while building PKCS#8: " + err.Error())
+	}
+	return asn1.Marshal(privKey)
+}
diff --git a/smx509/pkcs8_test.go b/smx509/pkcs8_test.go
index e297a6c..84da81b 100644
--- a/smx509/pkcs8_test.go
+++ b/smx509/pkcs8_test.go
@@ -124,6 +124,22 @@ func TestPKCS8(t *testing.T) {
 			t.Errorf("%s: marshaled PKCS#8 didn't match original: got %x, want %x", test.name, reserialised, derBytes)
 			continue
 		}
+		if ecKey, isEC := privKey.(*sm2.PrivateKey); isEC {
+			ecdhKey, err := ecKey.ECDH()
+			if err != nil {
+				t.Errorf("%s: failed to convert to ecdh: %s", test.name, err)
+				continue
+			}
+			reserialised, err := MarshalPKCS8PrivateKey(ecdhKey)
+			if err != nil {
+				t.Errorf("%s: failed to marshal into PKCS#8: %s", test.name, err)
+				continue
+			}
+			if !bytes.Equal(derBytes, reserialised) {
+				t.Errorf("%s: marshaled PKCS#8 didn't match original: got %x, want %x", test.name, reserialised, derBytes)
+				continue
+			}
+		}
 	}
 }
 
diff --git a/smx509/sec1.go b/smx509/sec1.go
index 5e75e46..503388d 100644
--- a/smx509/sec1.go
+++ b/smx509/sec1.go
@@ -8,6 +8,7 @@ import (
 	"fmt"
 	"math/big"
 
+	"github.com/emmansun/gmsm/ecdh"
 	"github.com/emmansun/gmsm/sm2"
 )
 
@@ -133,3 +134,13 @@ func parseECPrivateKey(namedCurveOID *asn1.ObjectIdentifier, der []byte) (key *e
 
 	return priv, nil
 }
+
+// marshalECDHPrivateKey marshals an EC private key into ASN.1, DER format
+// suitable for SM2 curve.
+func marshalECDHPrivateKey(key *ecdh.PrivateKey) ([]byte, error) {
+	return asn1.Marshal(ecPrivateKey{
+		Version:    1,
+		PrivateKey: key.Bytes(),
+		PublicKey:  asn1.BitString{Bytes: key.PublicKey().Bytes()},
+	})
+}
diff --git a/smx509/verify.go b/smx509/verify.go
index 4abfecb..7d582c0 100644
--- a/smx509/verify.go
+++ b/smx509/verify.go
@@ -637,7 +637,7 @@ func (c *Certificate) Verify(opts VerifyOptions) (chains [][]*Certificate, err e
 	for i := 0; i < opts.Intermediates.len(); i++ {
 		c, err := opts.Intermediates.cert(i)
 		if err != nil {
-			return nil, fmt.Errorf("crypto/x509: error fetching intermediate: %w", err)
+			return nil, fmt.Errorf("x509: error fetching intermediate: %w", err)
 		}
 		if len(c.Raw) == 0 {
 			return nil, errNotParsed
diff --git a/smx509/x509.go b/smx509/x509.go
index 115889e..77ef460 100644
--- a/smx509/x509.go
+++ b/smx509/x509.go
@@ -49,6 +49,7 @@ import (
 	"golang.org/x/crypto/cryptobyte"
 	cryptobyte_asn1 "golang.org/x/crypto/cryptobyte/asn1"
 
+	"github.com/emmansun/gmsm/ecdh"
 	"github.com/emmansun/gmsm/internal/godebug"
 	"github.com/emmansun/gmsm/sm2"
 )
@@ -114,6 +115,20 @@ func marshalPublicKey(pub interface{}) (publicKeyBytes []byte, publicKeyAlgorith
 	case ed25519.PublicKey:
 		publicKeyBytes = pub
 		publicKeyAlgorithm.Algorithm = oidPublicKeyEd25519
+	case *ecdh.PublicKey: //TODO:will add SDK ECDH public key support from golang 1.19 later.
+		publicKeyBytes = pub.Bytes()
+
+		oid, ok := oidFromECDHCurve(pub.Curve())
+		if !ok {
+			return nil, pkix.AlgorithmIdentifier{}, errors.New("x509: unsupported elliptic curve")
+		}
+		publicKeyAlgorithm.Algorithm = oidPublicKeyECDSA
+		var paramBytes []byte
+		paramBytes, err = asn1.Marshal(oid)
+		if err != nil {
+			return
+		}
+		publicKeyAlgorithm.Parameters.FullBytes = paramBytes
 	default:
 		return nil, pkix.AlgorithmIdentifier{}, fmt.Errorf("x509: unsupported public key type: %T", pub)
 	}
@@ -519,6 +534,15 @@ func oidFromNamedCurve(curve elliptic.Curve) (asn1.ObjectIdentifier, bool) {
 	return nil, false
 }
 
+func oidFromECDHCurve(curve ecdh.Curve) (asn1.ObjectIdentifier, bool) {
+	switch curve {
+	case ecdh.P256():
+		return oidNamedCurveP256SM2, true
+	}
+
+	return nil, false
+}
+
 // KeyUsage represents the set of actions that are valid for a given key. It's
 // a bitmap of the KeyUsage* constants.
 type KeyUsage = x509.KeyUsage