A mixed numerical method for solving Volterra-Fredholm integral equation of the second kind (VFIESK) is considered in the space  The Volterra integral term (VIT) is considered in time with singular kernel, while the Fredholm integral term (FIT) is considered in position with continuous kernel. Using Toeplitz matrix method, we obtain a system of FIE’s with continuous kernel. Then the previous system is solved by using a block by block method. Many numerical results are considered and the estimated error is also established.