A numerical study is conducted on the jet impingement in rectangular and curved channels with and without crossflow to comprehend the flow mechanics and heat transfer characteristics. In most of the practical scenarios, jet impingement is accompanied by crossflow. The crossflow generally reduces the jet’s mean velocity length and displaces the geometric jet impinging point in the downstream direction. The influence of jet Reynolds number (Re) 7500 and the velocity ratio of crossflow and jet flow (M) 0, 0.19 and 0.25 are varied to study the flow distribution and heat transfer characteristics on the target wall surface. The heat transfer is higher for rectangular channels than curved channels for M = 0. The maximum Nusselt number (Nu) decreases for both channels while increasing M from 0.19 to 0.25. In the rectangular and curved channels, the maximum local Nu is reduced by 22.5% and 14.8%, with an increase in M from 0.19 to 0.25, respectively.