Hadronic decays of the P-wave spin-triplet charmonium states χcJ(J=0,1,2) are studied using a sample of ψ(2S) decays collected by the BES detector operating at the BEPC storage ring. Branching fractions for the decays χc1→Ks0K+π -+c.c., χc0→Ks0Ks0, χc2→Ks0Ks0, χc0→φφ, χc2→φφ and χcJ→K+K-K+K- are measured for the first time, and those for χcJ→π+π-π +π-, χcJ→π+π-K+K -, χcJ→π+π-pp̄ and χcJ →3(π+π-) are measured with improved precision. In addition, we determine the masses of the χc0 and ηc to be Mχc0=3414.1±0.6(stat)±0.8(syst) MeV and Mηc=2975.8±3.9(stat)±1.2(syst) MeV. ©1999 The American Physical Society.