The decays χcJ→ς0p¯K++c.c. (J=0,1,2) are studied via the radiative transition ψ(3686)→γχcJ based on a data sample of (448.1±2.9)×106 ψ(3686) events collected with the BESIII detector. The branching fractions of χcJ→ς0p¯K++c.c. (J=0,1,2) are measured to be (3.03±0.12±0.15)×10-4, (1.46±0.07±0.07)×10-4, and (0.91±0.06±0.05)×10-4, respectively, where the first uncertainties are statistical and the second are systematic. In addition, no evident structure is found for excited baryon resonances on the two-body subsystems with the limited statistics.