2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114124The goal of this paper is to establish the classification of all homogeneous surfaces of 3-sphere by using the moving frame method. We will show that such surfaces are 2-spheres and flat torus.14 pages, no figures, typeset in AMS-LaTeXDifferential GeometryPrimary 53B20, 53C30; Secondary 58A05, 58A10text