We study stationary Stokes systems in divergence form with piecewise Dini mean oscillation coefficients and data a bounded domain containing finite number of subdomains $C^{1,\rm{Dini}}$ boundaries. prove that if $(u, p)$ is weak solution the system, then $(Du, continuous. The corresponding results for Navier-Stokes are also established, from which Lipschitz regularity $H^1$-weak dimensions $d=...