The like-sign dimuon charge asymmetry of the $B$ meson, which was reported in the D$O$ Collaboration, is studied in the SU(5) SUSY GUT model with $S_4$ flavor symmetry. Additional CP violating effects from the squark sector are discussed in $B_s-bar B_s$ mixing process. The predicted like-sign charge asymmetry is in the 2$sigma$ range of the combined result of D$O$ and CDF measurements. Since the SUSY contributions in the quark sector affect to the lepton sector because of the SU(5) GUT relation, two predictions are given in the leptonic processes: (i) both ${rm BR}(mu to e gamma)$ and the electron EDM are close to the present upper bound, (ii) the decay ratios of $tau$ decays, $tau to mugamma$ and $tau to e gamma$, are related to each other via the Cabibbo angle $lambda_c$: ${rm BR}(tau to egamma)/{rm BR}(tau to mugamma)sime lambda_c^2$. These are testable at future experiments.