We investigated the adhesion of single-walled carbon nanotubes to the surface of graphene membranes using aberration-corrected transmission electron microscopy. We mixed nanotubes of different chiralities with a solution of dispersed graphene flakes. The spontaneous atomic match of the two lattices was directly imaged using high-resolution transmission electron microscopy, and we found evidences of a chirality dependent grafting of the tubes to the surface of the graphene membranes.