The inclusive semileptonic decays of the B meson are examined in the context of a CP softly broken two Higgs doublet model. The differential branching ratio, forward-backward asymmetry, CP-violating asymmetry, CP-violating asymmetry in the forward- backward asymmetry and polarization asymmetries of the final lepton in this decay are examined. The dependencies of these physical parameters on the model parameters are analyzed by paying a special attention to the effects of neutral Higgs boson (NHB) exchanges and possible CP violating effects. It has found that NHB effects are quite signifcant...