The Prisoner‘s Dilemma, a simple two-person game invented by Merrill Flood & Melvin Dresher in the 1950s, has been studied extensively in Game Theory. Till now the work has been done to study the environment in which strategies for the Prisoner's Dilemma can be evolved through Genetic Algorithm approach and find out best strategy for playing game. We have applied genetic approach to find out best moves taken by two players in prisoner dilemma game. There are two traits in this problem: the ability to defend against defectors, and the ability to cooperate with other cooperators . First the algorithm to play iterated prisoner dilemma game for two players is proposed. Then various moves of two players in three games are studied and through genetic approach the best moves are find out. In the end results of implementation of prisoner dilemma with genetic approach are given.