No, it recognizes them as 'domestic dependent nations', a quasi-sovereign status which means that they exercise control over their reservations but have no international legal status. Constitutionally only the federal government can deal with Indian tribes and treaties signed with them are placed on the same level as international treaties.
How is it that the Indian tribes can issue passports and tribal members can travel internationally using said passports?
HARVARD GAZETTE ARCHIVESFinalists for American Indian awards announced
The first-ever American Indian tribally operated eagle sanctuary that helps meet a pueblo's religious and ceremonial needs, an internationally recognized Native American lacrosse team whose members travel abroad using passports issued by their Indian nation, and a tribal wellness program that prevents and combats diabetes are among the 16 finalists in the University's American Indian tribal governance awards program for the year 2002.