To avoid innate sensing and immune control, human immunodeficiency virus type 1 (HIV-1) has to prevent the accumulation of viral complementary DNA species. Here, we show that the late HIV-1 accessory protein Vpu hijacks DNA repair mechanisms to promote degradation of nuclear viral cDNA in cells that are already productively infected. Vpu achieves this by interacting with RanBP2-RanGAP1*SUMO1-Ubc9 SUMO E3-ligase complexes at the nuclear pore to reprogramme promyelocytic leukaemia protein nuclear bodies and reduce SUMOylation of Bloom syndrome protein, unleashing end degradation of viral cDNA. Concomitantly, Vpu inhibits RAD52-mediated homologous repair of viral cDNA, preventing the generation of dead-end circular forms of single copies of the long terminal repeat and permitting sustained nucleolytic attack. Our results identify Vpu as a key modulator of the DNA repair machinery. We show that Bloom syndrome protein eliminates nuclear HIV-1 cDNA and thereby suppresses immune sensing and proviral hyper-integration. Therapeutic targeting of DNA repair may facilitate the induction of antiviral immunity and suppress proviral integration replenishing latent HIV reservoirs.