This paper introduces and studies a new system of general nonlinear variational inequalities(SGNLVI) in Hilbert space.The equivalence between (SGNLVI) and the fixed point problems is established.Using the resolvent operator technique，this paper presents a new resolvent algorithm and the convergence of the new algorithm is analyzed under proper conditions.The results presented in this paper are more general to improve and extend the results known in the previous literature.