A ratchet mechanism of the ratchet tensioner comprises a toothed ratchet element slidable in a housing and movable in a sliding direction, a plunger movable in an advance/setback direction and having rack teeth engageable by the teeth of the ratchet element, and a ratchet-biasing spring for biasing the ratchet element so that its teeth engage the rack teeth. The rack teeth have stop surfaces facing in the setback direction and sliding surfaces facing the advancing direction. The sliding surfaces are curved surfaces bulging in the advancing direction and in the direction of disengagement of the ratchet element from the rack teeth, the bulge being in an area extending from an entry starting location to an entry ending location.