We have investigated the morphology of heterostructured GaP-GaAs nanowires grown by metal-organic vapor-phase epitaxy as a functionof growth temperature and V/III precursor ratio. The study of heterostructured nanowires with transmission electron microscopy tomographyallowed the three-dimensional morphology to be resolved, and discrimination between the effect of axial (core) and radial (shell) growth onthe morphology. A temperature- and precursor-dependent structure diagram for the GaP nanowire core morphology and the evolution of thedifferent types of side facets during GaAs and GaP shell growth were constituted.