An analysis has been performed on the magnetohydrodynamic squeeze flow between two parallel disks with the porosity of the disks taken into account. The disks, at time t*, are spaced a certain distance and a magnetic field is applied perpendicular to the disks. Approximate analytical solution via homotopy analysis method (HAM) is obtained, and the accuracy of this method has been verified by implemented numerical method. The effects of suction or injection, squeeze Reynolds number, and Hartmann number on the velocity profiles are studied.