This paper describes an algorithm for parallel assembling of the stiffness matrix in simulation of crack propagation in distributed memory environment using master-workers method. In this algorithm, element stiffness matrix is formed by groups in each processor related by the finite element mesh. Each processor assembles a specific group of elements and no synchronization is required to avoid two or more worker processors sending the calculation result to master processor concurrently. This paper gives the speed-up rate in the simulation of crack propagation. The results indicate excellent performance and reduction of total computational time.