Cores were taken from the hanging wall of the III -1 ore body at Kangjiawan Lead, Zinc and Gold Mine. 50 samples for compression and tension tests were fabricated. 50 compressive and 50 tensile strength values were obtained by RMT-150B testing systems. The probability distributions for the compressive and tensile strength were tested by the hypothesis test method. It proves that uniaxial compressive strength follows normal distribution and tensile strength follows the lognormal distribution. And it proves that elastic modulus and Poson’s ratio follow normal distribution. 50 pairs of cohesion and internal friction angle were obtained by randomly drawing a uniaxial compressive and tensile strength samples from 50 measured values. Cohesion follows lognormal distribution and internal friction angle follows normal distribution through hypothesis test method. With the results, some references can be conveniently provided for prediction of the strength and distribution of similar rocks in related geotechnical projects.