CONWIP is robust and efficient for various type of operating system, such as series, parallel, and assembly systems. Especially, assembly system would be controlled couple of modified CONWIP system. In the following paper, we developed Critical Path CONWIP system that gives signal to sub-line from a station of critical path then, compared with m-conwip, discrete-card-buffer CONWIP. 2 representative asymmetric assembly system models are used to compare each control system. As a result, critical path CONWIP holds less whole work-in-process with similar output. It can decrease total cost and WIP for high holding cost assembly system