Abstract: Based on the supersonic measurement results of marble specimens with different grains,the influence law of soaking time and macroscopical fissure on wave speed,and the dispersion of acoustic parameters of specimens were carried out.The results show that soaking time has great influence on longitudinal wave speed of marble specimens,but no clear effect on the transverse wave speed.The macroscopical fissures can reduce the longitudinal wave speed,but the extent of reducing has relation with the failure extent of specimens.With the increase of specimens' average grain,the acoustic parameters of rock isn't a monotone function,and they reduce firstly and then increase,what's more,the changeable scope of dynamic Poisson's Ratio is higher than one of other acoustic parameters,and so it can't show the deformation property of rock as the mechanical parameter of material.