Magnetorheological fluid is a novel functional material, of which quasistatic squeeze behavior needs to be quantitatively controlled in industrial applications. Since the quasistatic squeeze behavior has a close relation with microstructure variations, thus it is modeled from a microscopic approach. By analyzing compression of single chains, aggregation from single chains to BCT structure and compression of BCT structure, the initial stress [Formula: see text], yield stress [Formula: see text], yield strain [Formula: see text], and stress in post-yield stage [Formula: see text] are respectively modeled. It is found that they have an exponential dependence on magnetic field strength H and particle volume concentration [Formula: see text], including [Formula: see text], [Formula: see text], and [Formula: see text], etc. By comparing predicted results with measured results, the micro-macro stress model on quasistatic squeeze behavior is well validated. This model can be used to design, manufacture, and control industrial magnetorheological devices.