In this paper, we provide two new generalized Gauss-Seidel (NGGS) iteration methods for solving absolute value equations A x − ∣ x ∣ = b , where A ∈ R n × n , b ∈ R n , and x ∈ R n are unknown solution vectors. Also, convergence results are established under mild assumptions. Eventually, numerical results prove the credibility of our approaches.