Michelson interferometer with no interfringes counting is described. Two ideas: controllable phase shift and the properties of divisibility of integers are used. Application of Michelson interferometer for precise measurements of displacements is widely known. But this method is confined to speed of movement of the object under study due to confinement of response of light impulse counters since the method is based on counting interference fringes in real time. Besides it is necessary to provide reversibility of counting and recording of the fractional fringe orders, especially then when small displacement are being measured. At the same time new interferogran decoding methods that have been worked out lately make it possible to build up a Michelson interferometer that would be free from the problems mentioned above. The purpose of this paper is to describe Michelson interferometer with no interference fringes counting.Such Michelson interferometer is devisable thanks to tin) underlying ideas: first, application of controllable phase shift, and second, the properties of divisibility of integers.