A hydraulic tensioner having a piston slidably fitted in a bore in a housing forming a fluid chamber. The piston is biased in a protruding direction by a spring and fluid. A check valve permits flow of fluid into the fluid chamber and prevents flow of fluid in the reverse direction. A pressure relief valve is provided in the fluid chamber. The pressure relief valve works with a vent disc having two separate vent paths. The pressure relief valve and vent disc provide controlled venting of fluid from the fluid chamber during both conventional operation and during periods of excessive pressure and thus, prevent collapse of the tensioner.