This paper presented a two2dimensional discrete dynamic competitive model in advertising based on the classic V2W model , namely the sales2advertising response model . In the duopoly market , goods produced by two companies are exchangeable , and so in order to increase sales they have to lend advertising to attract customers. Since advertising expenditures were used as control variable in this paper , the model could be regarded as a linear feedback control system. By means of mathematic analyzing and numerical computing , it can be obtained that two state variables is chaotic synchronization under certain parameters regions. Furthermore , the stability of the chaotic synchronization was also analyzed.