The histone modification of H3 oxidized at lysine 4 (H3K4ox) is catalyzed by lysyl oxidase-like 2 (LOXL2) and is enriched in heterochromatin in triple-negative breast cancer (TNBC) cells. Although H3K4ox has been linked to the maintenance of compacted chromatin, the molecular mechanism underlying this maintenance is unknown. Here we show that H3K4ox is read by the CRL4B complex, leading to the ubiquitination of histone H2A through the E3 ligase RBX1. Finally, interactions between RUVBL1/2 and LOXL2 are involved in the incorporation of the histone variant H2A.Z, which plays an essential role in the mechanism controlling the dynamics of oxidized H3. Maintenance of H3K4ox in chromatin is essential for heterochromatin properties, and disruption of any of the members involved in this pathway blocks the oncogenic properties of TNBC cells.