This paper presents the effect of the non-axisymmetric magnetic and steady state thermal load on thermo magneto mechanic functionally graded (FG) hollow cylinder. An analytical solution for stresses and Lorentz force were determined using the separation of variables and complex Fourier series and the power law functions for material, except Poisson’s ratio, through the thickness of the cylinder. The results show that the magnetic field has a significant effect on stresses and displacements along the cylinder and with the specific magnetic field vector the stresses and displacements along the cylinder can be controlled and optimized. The aim of this work was to understand the effect of Lorentz force on a functionally graded hollow cylinder subjected to mechanical, thermal and magnetic load. The magnetic field decrease circumferential displacements and stress and increase the radial displacements and stress due to thermo mechanical loads.