A rotary motor with a geared transmission which contains a stator which is procured with triangular cavities which are procured with rounded peaks from which into each is led in at least one canal for entry and exit of compressible medium where in each cavity is embedded a rotary piston with an elliptical crosscut in the way that its lengthwise axis which is parallel with an axis of a rotary element is displaced regarding to a lengthwise axis of the inner cavity of the stator to reach a planetary movement of the rotary piston where the mutual coupling of the rotary pistons with a driven mechanism is achieved by led out of following pins of the rotary pistons out of the cavities of the stator where they are procured with rotary cog wheels which are mutually coupled with the geared elliptical rotary element which is connected with the driven mechanism.