Let.(E,θ) be a stable Higgs bundle of rank.ron a smooth complex projective surface.X equipped with a polarization.H.Let.C⊂X be a smooth complete curve with.[C]=n · H. If, where. then we prove that the restriction of.(E, θ) to C is a stable Higgs bundle. This is a Higgs bundle analog of Bogomolov's restriction theorem for stable vector bundles. © 2010 Elsevier Masson SAS.