The clock paradox is studied both from the point of view of special and general relativity. A solution for the case of a space ship moving in a straight line path with arbitrary acceleration is given in terms of special relativity. It is pointed out that an appeal to general relativity is not necessary as long as a single clock in the accelerator frame is considered, but that general relativistic considerations are necessary if two clocks separated by an appreciable distance are introduced into the accelerated frame. A solution for this case is given.