In recent years, more and more attention has been paid to the development of new promising high-speed modes of the transport, especially, magnetic and vacuum pipelines. The linear induction motors will be used as traction machines in the early stages of the development of the magnetic-levitation and vacuum transport. The linear induction motors with compound-equalized magnetic flux for lines of the force, which, in addition to traction, can create lateral stabilization forces of high-speed carriages on a magnetic suspension, will be used in a magnetic vehicle in the nearest future. The effective and safe braking issues are of particular importance for high-speed magnetic-levitation transport. To reduce the speed and stop high-speed transport carriages on a magnetic suspension, the linear traction motors can operate as eddy current principle of the brakes. The article discusses the braking modes of a linear induction motor with a compound-equalized magnetic flux for lines based on the equivalent circuit of the machine. The analytical relationships are obtained for the calculation of the braking forces.