The newly broadcast GPS L2C signal will be extensively used due to its superiority. In order to acquire L2C signal fast in a dual-frequency GPS receiver, this paper firstly discusses two traditional acquisition algorithms, then proposes and implements a new algorithm based on the fixed phase relationships among C/A code, CM code and CL code and the fixed relationships of Doppler shift between the L1 channel and L2 channel. The experimental result demonstrates that the new acquisition algorithm can speed up the acquisition process substantially. It also suits other dual-frequency navigation receivers.