An exact similarity solution has been obtained for the magnetohydrodynamic squeeze flow between two parallel disks with suction or injection at the porous disk. The disks, at time t*, are spaced a distance H(1 − α*)1/2 apart and a magnetic field proportional to B0(1 − αt*)−1/2 is applied perpendicular to the disks. Approximate analytic solutions are given and a numerical solution to the resulting nonlinear ordinary differential equation is obtained. The effects of magnetic forces on the velocity profiles and on the normal forces which the fluid exerts on the disks with suction or injection on the stationary porous disk are studied. It has been found that the effect of injection is to increase the load carrying capacity and it is the reverse in the case of suction. © 1997 ASME.