Resonance tube is essential component in thermoacoustic system. And its dimensions are determined based on resonance wavelength. This is an obstacle to realize compact apparatus. Replacing resonance tube with lumped mass system, that matter can be eliminated. And also use of solid body, which has much higher density than air or other gases, as wave medium enables getting large power in small size equipment. In this report outline of Lumped Mass Circular Traveling Wave Stirling System based on that concept and numerical simulation results are shown.