A chain tensioner includes a cylindrical cylinder having an open end and a bottom, a cylindrical plunger axially slidably inserted in the cylinder and having a bottom and an open end located in the cylinder, a screw rod mounted in the cylinder and having an external thread on an outer periphery thereof, wherein the plunger has a protrusion on an inner periphery thereof which is in threaded engagement with the external thread of the screw rod, and wherein the external thread has a pressure flank for receiving pressure when a force is applied that tends to push the plunger into the cylinder, and a clearance flank, the pressure flank having a larger flank angle than the clearance flank, whereby the external thread is serration-shaped, and a return spring mounted between the plunger and the screw rod and biasing the plunger in a direction to protrude from the cylinder, thereby pressing a chain with the plunger, wherein the protrusion extends only a limited arcuate range of the inner periphery of the plunger.