Objective To present a hemodynamics model to explain the mechanism of Chinese Traditional Medical Massage (CTMM) Swing manipulation (Rolling manipulation and Vibrating manipulation). Methods Pulsatile blood flow through an artery with mild stenosis moving axially is studied for modeling Rolling manipulation. Blood flow is governed by Navier-Stokes equations. The effect of dynamical variation of tissue pressure on exchange between capillary and tissue is investigated for Vibrating manipulation. The governing equation of blood flow in capillary is Stocks equation with boundary condition of Starling law. The tissue hydraulic pressure changes with Vibrating manipulation. Results Blood velocities change and average flow rate through the artery increases for the rolling manipulation model ; and a reduction of blood apparent viscosity in capillary is showed for the Vibrating manipulation . Conclusion The results could be used to explain the hemodynamics principle of CTMM Swing manipulation : removing blood stasis and promoting blood circulation .