Abstract: Background: The purpose of this study is to observe the effects of flow parameters on velocity and microrotation in a similar flow of micropolar fluids between two disks in the presence of a magnetic field. Method: In this analysis, the similarity transformations have been used to transform the governing highly non linear partial differential equations of motion. The resulting ordinary differential equations are solved numerically using Successive Over Relaxation (SOR) method and Simpson’s (1/3) Rule. The numerical results have been improved by Richardson extrapolation to the limit. Results: The results have been obtained for velocity and microrotation for several values of the squeeze Reynolds number R and Hartmann number M and the material constants C’s related to micropolar fluids viscosity coefficients. Comparison of the results for Newtonian and micropolar fluids is presented. Conclusion: The research concludes that the micropolar fluids flow resembles with that of Newtonian fluids when the material constants become close to zero but the micropolar behavior becomes prominent with the increasing values of these constants. The present results have practical applications in industry and lubrication phenomena.