A semipermeable membrane support containing polyolefin-based fibers, which can withstand repeated washing and backwashing, makes it easy for a semipermeable membrane component to permeate thereinto and difficult for the component to strike therethrough, and is excellent in adhesion to the semipermeable membrane and adhesion between a non-coating surface thereof and a resin frame. The semipermeable membrane support which is used by forming the semipermeable membrane thereon is a wet-laid nonwoven fabric containing core-sheath type conjugate fibers composed of polypropylene as a core component and polyethylene as a sheath component and has a burst strength of 300 to 1,000 kPa, or the Bekk smoothness and 75° mirror surface glossiness of the coating surface on which the semipermeable membrane is to be formed of the semipermeable membrane support being more than the Bekk smoothness and 75° mirror surface glossiness of a non-coating surface on the opposite side.