Abstract: A new algorithm is proposed to solve quasimonotone variational inequalities in real Hilbert space. The algorithm is based on the subgradient extragradient algorithm, the inertial technique and halpern method,and the mapping is not required to be Lispschitz continuous, and Armijio line search criterion is used.Finally, under the appropriate conditions, the solutions of the sequence converging strongly to the variational inequality are obtained.Numerical experiment results show the feasibility of the algorithm.