Analysis of the mechanism coupled range-finder for miniature cameras by focusing with coincidence of doubled images is given. Although it is not difficult to obtain a correct shape of the cam which is the most important part of the mechanism, the shape should be approxi-mated by a circle or a straight line when, in mass prodction, the accuracy in the working process and the cost are considered. With mathematical formulations, useful means and data for designing and producing the mechanism to obtain a uniform coupling accuracy in the whole range of the object distance and the differential characteristics of the mechanism are given especially in the case of a round cam.