A spindle support assembly in a glass plate edge grinding machine comprises a support member provided on a spindle for a grinding wheel through a bearing, a resilient member fixed to the outer portion of said support member, a holding member adapted to hold said resilient member from the outside thereof, a clamp member disposed between said support member and said holding member, and a friction member inserted between the lower face of said clamp member and the upper face of said resilient member axially opposite to each other.
