This work is accomplished to investigate the Hall and ion-slip effects on mixed convection three-dimensional flow of a Maxwell fluid over a stretching vertical surface. The problem is first formulated and then nondimensionalized by using suitable variables. The solutions are computed by homotopy analysis method (HAM). The results are compared with the already limiting results. The convergence of derived series solutions is studied. The velocity components and temperature have been examined for several important parameters. Numerical computations for Nusselt number are presented and analyzed.