A high frequency moving-magnet linear compressor was designed for a 120 Hz coaxial pulse tube cold finger and a motor model was designed by means of finite element analysis. The experimental results showed that the crycooler could achieve 1 W@80 K cooling capacity with input power of 34 W. On the basis of this compressor model, the compressor was used to drive a Stirling cold finger with same frequency. By redesigning the flexure-bearing and moving mass, the Stirling cold finger achieved 1 W@80 K cooling capacity with input power of 34 W. This showed that this design method was effective.