A new time-domain fast multipole boundary element method(TD-FMBEM)for three-dimensional crack problems is proposed in this study.Convolution integrals with respect to time in boundary integral equations are discretized by the implicit Runge-Kutta based convolution quadrature method,which produces accurate and stable numerical solutions.However,the computational cost for a number of time steps is expensive even if the fast multipole method or-matrix is applied to spatial matrix-vector products.Therefore,the proposed TD-FMBEM is accelerated for number of time steps using the rapid convolution algorithm with fast Fourier transform.