The micropolar fluid theory, a possible non-Newtonian model for fluids with rigid particle additives in which the average molecular size may be comparable to the material characteristic length, is applied to a two-dimensional problem of squeeze film of a ball in a spherical seat and to some three-dimensional noncyclic squeeze film problems, assuming the characteristic coefficients to be constant, in an effort to study the effects of rigid particle additives for the three-dimensional micropolarity model. Increase in effective viscosity due to the presence of additives is established theoretically. It is also shown that the theoretical effects of the additives on three-dimensional lubrication are identical to the two-dimensional problems, at least qualitatively.