A phylogeny of green lacewings (Neuroptera: Chrysopidae) using anchored hybrid enrichment data is presented. Using this phylogenomic approach, we analysed 137 kb of sequence data (with < 10% missing) for 82 species in 50 genera of Chrysopidae under Bayesian and maximum likelihood criteria. We recovered a strongly supported tree topologically congruent with recently published phylogenies, especially relationships amongst higher-level groups. The subfamily Nothochrysinae was recovered as paraphyletic, with one clade sister to the rest of Chrysopidae, and the second clade containing the nominal genus (Nothochrysa Navás) as sister to the subfamily Apochrysinae. Chrysopinae was recovered as a monophyletic with the monobasic Nothancylini tribe n. sister to the rest of the subfamily. Leucochrysini was recovered sister to Belonopterygini, and Chrysopini was rendered paraphyletic with respect to Ankylopterygini. Divergence times and diversification estimates indicate a major shift in rate in ancestral Chrysopini at the end of the Cretaceous, and the extensive radiation of Chrysopinae, the numerically dominant clade of green lacewings, began in the Mid-Paleogene (c. 45 Ma).