We investigate the angular distributions of the rare B decay, B → K * (→ Kπ)ℓ + ℓ − , in general supersymmetric extensions of the standard model. We consider the new physics contributions from the operators O 7,8,9,10 in small invariant mass region of lepton pair. We show that the azimuthal angle distribution of the decay can tell us the new physics effects clearly from the behavior of the distribution, even if new physics does not change the decay rate substantially from the standard model prediction.