Abstract: Technological innovation is related to corporate survival and social well-being. Aiming at the market in the issue of monopoly, technological innovation, using game theory methods, a duopoly innovation strategy game payoff matrix is established. On the basis of this, by referring to evolutionary game theory, duopoly evolutionary stable strategy of technological innovation is obtained. Research results show that in deciding on whether to adopt the strategy of technological innovation around the product, the duopoly takes into account not only the marginal cost, but also the company's position in the market, and therefore does not necessarily consider the interests of both sides to take on a consistent technology innovation strategy.