There are disclosed a method and a system for non-contact control in a form of a polarization marker, a receiving device, and a microprocessor. In the polarization marker, beams are polarized with a customized cylinder polarizer, pass through a system of lenses and reflectors and are emitted into space, wherein the direction of the polarization vectors is axially symmetrical about the virtual axis of the polarization marker. The receiving device located in the working plane identifies the direction and position in space of the polarization marker in relation to the receiver, the results being interpreted by the microprocessor into control commands The receiving device consists of polarimeters spaced at a predetermined distance. The polarimeters identify the direction of the polarization vectors of incident beams from the polarization marker. Based on the data obtained from each polarimeter, the microprocessor calculates the direction and angles of site of the polarization marker.