Two-step　algorithms　for　the　stationary　incompressible　Navier-Stokes　equations　with　friction　boundary　conditions　are　considered　in　this　paper.　Our　algorithms　consist　of　solving　one　Navier-Stokes　variational　inequality　problem　used　the　linear　equal-order　finite　element　pair　(i.e.,　P-1-P-1)　and　then　solving　a　linearization　variational　inequality　problem　used　the　quadratic　equal-order　finite　element　pair　(i.e.,　P-2-P-2).　Moreover,　the　stability　and　convergence　of　our　two-step　algorithms　are　derived.　Finally,　numerical　tests　are　presented　to　check　theoretical　results.(C)　2017　IMACS.　Published　by　Elsevier　B.V.　All　rights　reserved.