The bubble motion near a tissue under a pressure pulsing condition is studied numerically by solving the conservation equations of mass and momentum. The interactive deformation of bubble and tissue is computed using a level-set method, which is modified to include the liquid and bubble compressibility effects. The numerical results demonstrate the bubble motion according to the density and acoustic impedance of the tissue and their interaction. The effects of surface tension and viscosity of tissue on the motion of bubble and tissue are quantified.