diff --git a/acme/rfc8555.go b/acme/rfc8555.go
index 073cee5..f9d3011 100644
--- a/acme/rfc8555.go
+++ b/acme/rfc8555.go
@@ -410,3 +410,29 @@
 	e, ok := err.(*Error)
 	return ok && e.ProblemType == "urn:ietf:params:acme:error:alreadyRevoked"
 }
+
+// ListCertAlternates retrieves any alternate certificate chain URLs for the
+// given certificate chain URL. These alternate URLs can be passed to FetchCert
+// in order to retrieve the alternate certificate chains.
+//
+// If there are no alternate issuer certificate chains, a nil slice will be
+// returned.
+func (c *Client) ListCertAlternates(ctx context.Context, url string) ([]string, error) {
+	if _, err := c.Discover(ctx); err != nil { // required by c.accountKID
+		return nil, err
+	}
+
+	res, err := c.postAsGet(ctx, url, wantStatus(http.StatusOK))
+	if err != nil {
+		return nil, err
+	}
+	defer res.Body.Close()
+
+	// We don't need the body but we need to discard it so we don't end up
+	// preventing keep-alive
+	if _, err := io.Copy(ioutil.Discard, res.Body); err != nil {
+		return nil, fmt.Errorf("acme: cert alternates response stream: %v", err)
+	}
+	alts := linkHeader(res.Header, "alternate")
+	return alts, nil
+}
diff --git a/acme/rfc8555_test.go b/acme/rfc8555_test.go
index c35118e..07e2f29 100644
--- a/acme/rfc8555_test.go
+++ b/acme/rfc8555_test.go
@@ -882,3 +882,35 @@
 		t.Fatalf("RevokeCert: %v", err)
 	}
 }
+
+func TestRFC_ListCertAlternates(t *testing.T) {
+	s := newACMEServer()
+	s.handle("/crt", func(w http.ResponseWriter, r *http.Request) {
+		w.Header().Set("Content-Type", "application/pem-certificate-chain")
+		w.Header().Add("Link", `<https://example.com/crt/2>;rel="alternate"`)
+		w.Header().Add("Link", `<https://example.com/crt/3>; rel="alternate"`)
+		w.Header().Add("Link", `<https://example.com/acme>; rel="index"`)
+	})
+	s.handle("/crt2", func(w http.ResponseWriter, r *http.Request) {
+		w.Header().Set("Content-Type", "application/pem-certificate-chain")
+	})
+	s.start()
+	defer s.close()
+
+	cl := &Client{Key: testKeyEC, DirectoryURL: s.url("/")}
+	crts, err := cl.ListCertAlternates(context.Background(), s.url("/crt"))
+	if err != nil {
+		t.Fatalf("ListCertAlternates: %v", err)
+	}
+	want := []string{"https://example.com/crt/2", "https://example.com/crt/3"}
+	if !reflect.DeepEqual(crts, want) {
+		t.Errorf("ListCertAlternates(/crt): %v; want %v", crts, want)
+	}
+	crts, err = cl.ListCertAlternates(context.Background(), s.url("/crt2"))
+	if err != nil {
+		t.Fatalf("ListCertAlternates: %v", err)
+	}
+	if crts != nil {
+		t.Errorf("ListCertAlternates(/crt2): %v; want nil", crts)
+	}
+}