In this thesis in line with coordinating the supply chain, a model has been proposed to integrate pricing and vehicle routing problem. The crucial factor that links these two problems together is customers demand. Integrating these problems means instead of proposing a model in which the price is determined at first and then think about minimizing routing costs based on this price, we create a model that consider these problems simultaneously and the objective function of this model is the income earned by selling goods from which routing costs are subtracted. One of the important assumptions that has been considered in this thesis is that the market to be studied is competitive; so, the pricing problem is actually a price competition problem. Since the problem to be investigated is a competitive problem, like any other competitive problem some concepts in the field of game theory have been used to analyze the problem. The key point that distinct a game theoretic problem from other decision making problems, is that the utility earned by each of players addition to his (her) own strategy depends on other players strategy and every player can change the utility of other players by changing his (her) own strategy. Considering this issue, in this kind of problems we must find a point in which none of players wants to change his (her) strategy; such a point is called Nash equilibrium. In this point the decision made by every player is the best response to decisions made by other players. One of the most important issues is existence the equilibrium in the game. The proposed model in this thesis is a none-cooperative, strategic and with perfect information game. There are some theorems that prove the existence of equilibrium is this kind of games. In This thesis after create the model, existence of the equilibrium has been proved by using one of these theorems and an equation has been proposed to find the equilibrium. Since solving the proposed model with exact methods, even in small cases needs too much time, an approximate method has been used to find the equilibrium and at the end two examples have been solved by using this method. Keywords: pricing, routing costs, price competition, game theory, Nash equilibrium