Binocular　stereo　vision　is　a　common　way　for　3D　reconstruction　of　objects,　which　is　core　technology　in　the　fields　of　computer-aided　geometric　design,　machine　vision　and　so　on.　However,　the　conventional　binocular　stereo　vision　algorithms　are　very　sensitive　to　the　ambient　lighting,　restricting　their　further　promotion.　The　method　of　tensor　completion,　applied　to　the　progress　of　preprocessing　the　captured　binocular　image,　provides　a　way　to　solve　this　problem.　In　this　paper,　a　binocular　stereo　vision　algorithm　that　uses　low-rank　tensor　completion　to　perform　3D　reconstruction　is　presented.　In　the　pictures,　the　positions　where　the　ambient　illumination　are　strong　are　regarded　as　information　that　cannot　be　observed,　and　the　others　are　regarded　as　observable　information.　The　unobservable　information　will　be　completed　using　the　observable　information　based　on　tensor　completion.　The　results　show　that　the　3D　reconstruction　results　obtained　using　tensor　completion　are　better　than　those　without　tensor　completion.　©　2019　IEEE.