The squeezing flow of an incompressible micropolar fluid between two parallel infinite disks is investigated in the presence of a magnetic flied. An analysis of strong and weak interactions has been carried out. Similarity solutions are derived by homotopy analysis method. The variation of dimensionless velocities are sketched in order to see the influence of pertinent parameters. Skin friction coefficient and wall couple stress coefficient have been tabulated. In addition, the derived results are compared with the homotopy perturbation solution in a viscous fluid.