The effect of unsteady MHD flow of a micropolar fluid over an inclined plate with thermal radiation and non-uniform heat source/sink, non-linear thermal radiation, chemical reaction and convective boundary conditions has been investigated in the present study. A mathematical model is developed to set of Partial differential equations into non-linear coupled ordinary differential equations and then solved numerically by spectral relaxation method (SRM) with finite difference scheme which employs the Gauss-Seidel type of relaxation approach to linearize and decouple the system of differential equations and then Chebyshev pseudo-spectral method was used to solve the equations. The influence of various physical parameters are depicted graphically and analyzed indetails. An excellent agreement of accuracy has found after comparing present work with previously published work.