Wave propagation is one the most important subjects in military, mining, and housing industries. Blasting, as a wave source, is always important. Due to explosion of explosives in continuum or discontinuum media, remarkable amount of energy is released in a short time. This energy propagates in the form of seismic waves through the continuum (or discontinuum) media and causes its particles to vibrate. A fraction of explosion energy is consumed for rock fragmentation and a high percent of energy is propagated into the rock mass in the form of stress wave . Rock masses consist of intact rock and discontinuities such as faults, joints and bedding planes. The presence of such discontinuities in rock masses dominates the response of jointed rock masses to static and dynamic loading. In studies of wave effect, the rock mass (as the wave transmitting media), transmits impact loads to structures, supporting systems, residential areas, and installations. The rock mass strength properties as well as rock mass discontinuities play a significant role in blast loading of adjacent structures. In this research, the mechanisms of blast-induced wave propagation, wave attenuation and wave interaction with the major discontinuity were investigated using the UDEC code in discontinuum media (Distinct Element Method (DEM) approach) and the FLAC3Dcode in continuum media (Finite Difference Method (FDM) approach).