Abstract: Based on the theories of Lord and Shulman(L-S)and Green and Lindsay (G-L), the generalized magneto-thermoelastic coupled phenomenon in an infinite cylinder subjected to a thermal shock was investigated. Maxwell equations were obtained and the magneto-thermoelastic coupled governing equations of both L-S type and G-L type were established. The problem was solved by means of Laplace transformation and numerical Laplace inversion. The distributions of temperature, stress, displacement, induced magnetic field as well as induced electric field were illustrated graphically. The heat wave effect and electromagneto-thermoelastic coupled effects were observed. The rotation significantly increased the magnitude of the real part of displacement, stress, induced magnetic field and induced electric field, but had no effects on the temperature.