  We present updated measurements of time-dependent CP asymmetries in fully
reconstructed neutral B decays containing a charmonium meson. The measurements
reported here use a data sample of (465+/-5) million Upsilon(4S)->BBbar decays
collected with the Babar detector at the PEPII asymmetric energy e+e- storage
rings operating at the SLAC National Accelerator Laboratory. The time-dependent
CP asymmetry parameters measured from JpsiKs, JpsiKL, Psi(2S)Ks, Chi_c1Ks,
eta_cKs and JpsiK*0 decays are: C_f = 0.024+/-0.020(stat)+/-0.016(syst) and
-\eta_f S_f = 0.687+/-0.028(stat)+/-0.012(syst).
