In a ratchet-type tensioner having a plunger with rack teeth formed thereon and a piston with ratchet teeth that engage the rack teeth, the ratchet teeth can be disengaged from the rack teeth by insertion of a tool through a tool insertion hole in the tensioner housing and exerting a prying action on the toothed end of the piston to move the piston away from the plunger. Alternatively if an oblique camming surface is formed on the toothed end of the piston, the ratchet teeth can be disengaged from the rack teeth by pushing the tool inward against the oblique camming surface. The piston and the hole in which it slides are shaped to prevent rotation of the piston. The ratchet teeth on the piston and the rack teeth on the plunger can be oblique to allow setback of the plunger when excessive force is exerted on the plunger.