[Problems] To provide power transmission chain manufacturing method and apparatus which can prevent a pin against damage when, by increasing a pre-tension, a more proper residual compression stress is applied to a link.[Means for Solving Problems] The manufacturing apparatus comprises a pre-tension applying apparatus 31 which includes a first pre-tension applying pulley 32 and a second pre-tension applying pulley 33 around which an endless shaped chain 1 can be wound. The mutually opposed sheave surfaces 32a and 33a of the pre-tension applying pulleys 32 and 33 are respectively formed to have a concave shape which corresponds to the convex curved portion 14a of the end face of a pin 14.