In this paper, we apply an numerical technique to solve a solution of linear Volterra Integro- Differential Equations. The numerical technique originally developed by Huabsomboon et al. [P. Huabsomboon, B. Novaprateep, H. Kaneko, On Taylor-series expansion techniques for the second kind integral equations, J. Comput. Appl. Math. 234 (2010) 1446-1472] bases on Taylor-series expansion. Our results shown that the technique is simple and efficient.