Magnetohydrodynamic convective flow and heat transfer of a micropolar fluid past a continuously moving vertical porous plate in the presence of heat generation/absorption with constant suction has been analyzed numerically. With appropriate transformations the boundary layer equations are transformed into nonlinear ordinary differential equations. The local similarity solutions of the transformed dimensionless equations for the flow, microrotation, and heat transfer characteristics are evaluated using Nachtsheim-Swigert shooting iteration technique. Numerical results are presented in the form of velocity, microrotation, and temperature profiles within the boundary layer for different parameters entering into the analysis. Also the effects of the pertinent parameters on the local skin friction coefficient and rate of the heat transfer in terms of the local Nusselt number are also discussed.