The ant system is a metaheuristic developed for the solution of hard combinatorial optimization problems. In this paper, through an analysis of the constructive procedure of the solution in the Ant Colony System (ACS), a modified algorithm for solving Vehicle Routing Problem (VRP), based on the ACS Hybridized with Randomized Algorithm(HRACS), is proposed. In HRACS, only partial customers are randomly chosen to compute the transition probability. Experiments on various aspects of the algorithm and computational results for fourteen benchmark problems are reported. We compare our approach with some other meta-heuristics and show that our results are competitive.