In the 2000 run, the BaBar detector recorded a large data sample of B-Bbar pairs, produced in e+e- collisions at the °(4S) resonance by the PEP-II asymmetric collider at the Stanford Linear Accelerator Center. New results from the analysis of a sample of about 23 million B-Bbar events will be presented, with emphasis on the measurements of time-dependent CP-violating asymmetries in neutral B decays to CP eigenstates. In these measurements, one B decay is fully reconstructed in a CP eigenstate containing charmonium, and the flavour of the other B is determined from its decay products. The amplitude of the CP-violating asymmetry, which in the Standard Model is proportional to sin2 b, is derived from the flavour tagged decay time distribution in such events.