This　paper　concerns　the　reflection　of　shock　waves　for　general　quasilinear　hyperbolic　systems　of　conservation　laws　in　one　space　dimension.　It　is　shown　that　the　mixed　initial-boundary　value　problem　for　general　quasilinear　hyperbolic　systems　of　conservation　laws　with　nonlinear　boundary　conditions　on　the　quarter-plane　{(t,　x)　vertical　bar　t　＞=　0,　x　＞=　0}　admits　a　unique　global　piecewise　C-1　solution　u　=　u(t,　x)　containing　only　shock　waves　with　small　amplitude　and　this　solution　possesses　a　global　structure　similar　to　that　of　the　Riemann　solution　u　=　U(x/t)　of　the　corresponding　Riemann　problem,　if　the　positive　eigenvalues　are　genuinely　nonlinear　and　the　Riemann　solution　has　only　shock　waves,　and　no　rarefaction　waves　and　contact　discontinuities.　Our　result　indicates　that　the　Riemann　solution　u　=　U(x/t)　consisting　of　only　shock　waves　possesses　a　semi-global　nonlinear　structure　stability.　(c)　2005　Elsevier　Ltd.　All　rights　reserved.