The decays B0ˉ→DsJ+K− and B0ˉ→DsJ−π+ are studied for the first time. A significant signal is observed in the B0ˉ→DsJ∗(2317)+K− decay channel with B(B0ˉ→DsJ∗(2317)+K−)×B(DsJ∗(2317)+→Ds+π0)=(5.3−1.3+1.5±0.7±1.4)×10−5. No signals are observed in the B0ˉ→DsJ∗(2317)−π+, B0ˉ→DsJ(2460)+K− and B0ˉ→DsJ(2460)−π+ decay modes, and upper limits are obtained. The analysis is based on a dataset of 140 fb−1 collected by the Belle experiment at the asymmetric e+e− collider KEKB.