In this study we propose a novel structure-based game theoretical model for evolution of HIV-1-Infected CD4+T cellsand invasion ofimmune system. The infected T-cells in the HIV infection process are divided into fourphenotypes according to infectious andreplication power as HIV-1 traits. Although genetic mutations in the reverse transcription that beget these phenotypes are random, the framework by which a phenotype become favored is affected by the environment and neighboring phenotypes. By applying an evolutionary game framework, we model the interaction between the phenotypes in the structured lymph nodes and influence of immune system on them. The model clearly reveals certain specific aspects of the HIV infection process. The results suggest situations that treatments could prolong course of the disease. To assess the model, we investigate the results of two new treatments on HIV, by applying our model. The results show that our model have the ability to predict the treatment results. Keywords : Evolutionary game theory, Replicator dynamics, HIV infection modeling.