Abstract：The mathematical-physical model is established based on the elastic wave equations of three-dimensional anisotropy media. The different jointed rock masses with typical joint sets are simplified as transversely isotropic media and monoclinic anisotropic media. When the elastic waves propagate through joint sets，the elastic wave velocity in different directions can be calculated. According to the mathematical-physical model，physical model of jointed rock mass is made. The related testing system of ultrasonic velocity is set up and the ultrasonic experiments are conducted. Experimental results show that the ultrasonic velocity is sensitive to the influence of joint sets and changes a lot when propagating through joint sets. In the ultrasonic experiment on physical model of monoclinic anisotropic media，the results are much complicated than those of experiment on physical model of transversely isotropic media. If survey points are located correctly，the existence and direction of joint sets can be recognised. The relationship between the elastic wave velocity and the distribution of joint sets in physical model is analysed. In practical engineering，the dominant orientation of joint sets and rock mass anisotropy can be judged using the ultrasonic tests. The results can provide abundant data for the practical engineering.
