  We analyse the CP asymmetry of the B --> phi K and B --> eta' K processes in
general supersymmetric models. We consider both gluino and chargino exchanges
in a model independent way by using the mass insertion approximation method. We
adopt the QCD factorization method for evaluating the corresponding hadronic
matrix elements. We show that chromomagnetic type of operator may play an
important role in accounting for the deviation of the mixing CP asymmetry
between B --> phi K and B --> J/psi K processes observed by Belle and BaBar
experiments. We also show that due to the different parity in the final states
of these processes, their supersymmetric contributions from the R-sector have
an opposite sign, which naturally explain the large deviation between their
asymmetries.
