Integrase is an essential enzyme in the life cycle of Human immunoficiency virus type 1 (HIV-1) and also an important target for designing integrase inhibitors. In this paper, the binding modes between the wild type integrase core domain (ICD) and the W131A mutant ICD with the benzoic acid derivative--D77 were investigated using the molecular docking combined with molecular dynamics (MD) simulations. The result of MD simulations showed that the W131A substitution affected the flexibility of the region 150-167 in both the monomer A and B of the mutant type ICD. In principle, D77 interacted with the residues around the Lens Epithelium-Derived Growth Factor (LEDGF/p75) binding site which is nearby the HIV-1 integrase dimer interface. However, the specific binding modes for D77-wild type integrase and D77-mutant integrase systems are various. According to the binding mode of D77 with the wild type ICD, D77 can effectively intervene with the binding of LEDGF/p75 to integrase due to a steric hindrance effect around the LEDGF/p75 binding site. In addition, we found that D77 might also affect its inhibitory action by reducing the flexibility of the region 150-167 of integrase. Through energy decomposition calculated with the Molecular Mechanics Generalized Born Surface Area approach to estimate the binding affinity, it seems likely that W131 and E170 are indispensable for the ligand binding, as characterized by the largest binding affinity. All the above results are consistent with the experimental data, providing us with some helpful information not only for the understanding of the mechanism of this kind of inhibitor but also for the rational drug design.