  We report preliminary results on the measurement of branching fractions of
exclusive decays of neutral and charged B mesons into two-body final states
containing a charmonium state and a light strange meson. The charmonium mesons
considered are J/psi, psi(2S) and chic_c1, and the light mesons are either K or
K*. We use a sample of about 124 million BBbar events collected with the BABAR
detector at the PEP-II storage ring at the Stanford Linear Accelerator Center.
