We study the MSW effect when neutrinos are the Majorana particles with
a nonvanishing CP-violating phase using the method based on the neutr
ino energy eigenstates in a medium with varying density. We calculate
the transition probability P(nu(e) --> nu(e)) as a function of the rat
io of neutrino energy to neutrino mass difference E/Delta(0) in the so
lar neutrino case for several values of the mixing angle theta and the
CP-violating phase sigma. We observe that the overall shape of the tr
ansition probability is not affected by the phase sigma.