A vibration-proof clamp includes a clamp body made of rigid resin and having a pipe clamp portion for holding pipes and a stud mounting portion for mounting to a stud; a cover for covering the pipe clamp portions of the clamp body; the cover connected to the clamp body; a first rubber member made of rubber or soft resin for mounting to the clamp body; and a second rubber member for mounting to the cover; the second rubber member having the shape and size which are the same as those of the first rubber member. Holding end portions of the first and second rubber members have semicircular shapes in cross section. The clamp body has rubber bottom holding portions for holding the holding end portions of the first rubber member. The cover has rubber top holding portions for holding the holding end portions of the second rubber member.