Recent a project called Compact LAser plasma Proton Accelerator (CLAPA) is approved by MOST in China.A prototype of laser Plasma accelerator based on the radiation pressure acceleration and plasma lens is going to be built at Peking University in the next few years.It can be used for the applications such as cancer therapy,plasma imaging,hard photon generation and fast ignition for inertial confine fusion.The recent theoretical and experimental progresses for CLAPA is reported here.