A double wishbone type suspension assembly of a vehicle is supported by a suspension supporting member through upper and lower control arms. The suspension supporting member comprises a cross member pivotally mounting the lower control arm and resiliently connected to a car body, and a supporting frame member pivotally mounting the upper control arm and resiliently connected to the car body, in particular to suspension tower of the car body. for resilient connection, a connecting mount which is prevented from being distorted laterally but is able to distort axially is provided between each member and the car body to be connected.