Stomopteryx phaeopa is a moth of the Gelechiidae family. It was described by Meyrick in 1918. It is found in Peru. The wingspan is 9–11 mm. The forewings are dark slaty-fuscous, slightly pale speckled. The stigmata are blackish, with the plical accompanied by small whitish-ochreous dot, obliquely before the first discal, the discal partially edged with a few whitish-ochreous scales, the first sometimes nearly obsolete. There is a small whitish-ochreous cloudy spot on the costa at two-thirds. The hindwings are grey.