  We study compact, simply connected, homogeneous 8-manifolds admitting
invariant Spin(7)-structures, classifying all canonical presentations G/H of
such spaces, with G simply connected. For each presentation, we exhibit
explicit examples of invariant Spin(7)-structures and we describe their type,
according to Fern\'andez classification. Finally, we analyse the associated
Spin(7)-connection with torsion.
