In this thesis, numerical analyses of two types of laboratory test with the three dimensional Distinct Element Code, 3DEC have been carried out. The laboratory experiments simulated were the punching tests of the shotcrete by Holmgren (1979) and the direct shear tests by Malmgren et al (2005).The analysis of the punching tests comprised plain shotcrete and shotcrete reinforced by bolts. Two different approaches were used to model the shotcrete behavior: (i) liner structural elements and (ii) zoned block material. The liner structural elements only allows for separation at the interface while the shotcrete material is linear elastic. The zoned block material was assigned linear elastic material as well as linear elastic- perfectly plastic properties.Numerical model geometry of punch and direct shear tests which are the same as physical problems constructed by numerical codes. For both punch and direct shear test the shotcrete layer has smaller zone size than the rock block zones size. From the punch test the results indicate that, the interaction between shotcrete and rock for both elastic and linear elastic perfectly plastic material is governed by interfaces properties. For all tests in punch the interface breaks when tensile strength of the interface reached, the strength drops to zero while in the laboratory experiment the strength drops to two third In direct shear test, the result in both elastic and linear elastic perfectly plastic material gives the values which are less than the laboratory experiment result. Since laboratory tests are expensive and time consuming, there advantages of using numerical methods in analyzing the interaction of rock and shotcrete.This thesis suggest that the 3DEC can be used to study the interaction between shotcrete and rock if more study of interfaces properties are well understood.