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We study theoretically the boundary layer flow of an incompressible micropolar fluid under uniform magnetic field and motion takes place due to the buoyancy force between vertical walls. The governing unsteady boundary layer momentum, angular momentum and energy equations of micropolar fluid are nondimensionalized and solved numerically. Analytic result for steady state case is also discussed. The effects of magnetic parameter (M), vortex viscosity parameter (R), Prandtl number (Pr) and material parameter (b) on velocity, micro-rotation and Temperature profiles are discussed through several figures.