Abstract：Based on numerical simulation experiment，the fractal distribution law of surface number in rock mass is proved. According to large amount of calculate and theoretical inducement，the two important fractal parameters for fractured face are achieved. Through a great deal of calculation，the relationship between DS and 2D fractal dimension DL of trace is obtained，which is DL =DS －1，and DL is not related to the other parameters，including NS，dip angle ST，azimuth SP of 3D surface. The relationship of NS and the initial value of trace number NL is obtained. There are projection relation between NL and ST and SP，and proportional relation between NL and Ns which is NL = kNS，where k depends on surface projection. These relations provide the foundation for studying number and scale of surface in rock masses.
