<p>It is theoretically studied that the dynamic response of void-crack defect under the coupling effect of blasting stress wave and in-situ stress in a deep mass rock in this paper. First, the first mathematical model of the scattering of the blasting stress wave at a void-crack defect is established and solved through the Green function method. A set of integral equations about the displacement components of scattered stress waves is derived, for which the numerical solutions can be obtained by introducing the numerical solutions of the integral equations. Then, in order to verify the correctness of the above mathematical model, consider that the void-crack defect is degenerated into a circular-shaped void defect. The second mathematical model of the scattering of the blasting stress wave at the circular-shaped void defect is established and solved through the separation variable method. Finally, it is discussed that the influence of the type, frequency, and incident angle of the blasting stress wave, the geometric dimensions of the void-crack defect on the amplitude distribution of the maximum effective principal stress of the scattered stress waves at the boundary of the void-crack defect in the polar coordinate system, which provides a theoretical guidance for determining whether a defect yields, locating the yield position, and assessing the severity of yielding when blasting stress waves of various types, frequencies, and propagation directions interact with various types of defects in engineering blasting.</p>