Major galaxy mergers are thought to play an important part in fuelling the growth of supermassive black-holes 1 . However, observational support for this hypothesis is mixed, with some studies showing a correlation between merging galaxies and luminous quasars 2, 3 and other studies showing no such association 4, 5 . Recent observations have shown that a black hole is likely to become heavily obscured behind merger-driven gas and dust, even in the early stages of the merger, when the galaxies are well separated 6-8 (5 to 40 kiloparsecs). Merger simulations further suggest that such obscuration and black-hole accretion peaks in the final merger stage, when the two galactic nuclei are closely separated 9 (less than 3 kiloparsecs). Resolving this final stage requires a combination of highspatial-resolution infrared imaging and high-sensitivity hard-Xray observations to detect highly obscured sources. However, large numbers of obscured luminous accreting supermassive black holes have been recently detected nearby (distances below 250 megaparsecs) in X-ray observations 10 . Here we report high-resolution infrared observations of hard-X-ray-selected black holes and the discovery of obscured nuclear mergers, the parent populations of supermassive black-hole mergers. We find that luminous obscured black holes (bolometric luminosity higher than 2 × 10 44 ergs per second) show a significant (P < 0.001) excess of late-stage nuclear mergers (17.6 per cent) compared to a sample of inactive galaxies with matching stellar masses and star formation rates (1.1 per cent), in agreement with theoretical predictions. Using hydrodynamic simulations, we confirm that the excess of nuclear mergers is indeed strongest for gas-rich major-merger hosts of obscured luminous black holes in this final stage. As the parent population of supermassive black hole mergers, the study of nuclear mergers can provide crucial benchmarks for models of black-hole inspiral and gravitational-wave signals.The Burst Alert Telescope (BAT) on the Neil Gehrels Swif t Observatory has surveyed the entire sky at unprecedented depths in the ultra-hard X-ray band (14-195 keV) and primarily detects accretion on to supermassive black holes (SMBHs) at the centres of nearby galaxies.Detection in the ultra-hard X-ray band is possible even when obscuring gas and dust in the host galaxy significantly attenuates the ultraviolet, optical, and/or softer X-ray emission around the growing black holes. At the distance to the nearest luminous AGN (about 220 Mpc or z≈0.05) ground-based optical imaging typically achieves a resolution of order 1 or 1 kpc in the host galaxy. This spatial resolution is not sufficient to resolve the final merger stage in the host galaxies down to the 100s of pc scales. However these can be resolved with near-infrared adaptive optics, which provide an improvement by a factor of 10 in spatial resolution (about 0.1 ). These scales are still above the black hole sphere of influence, which is of the order 10-100 pc for black holes with masses of 10 7 − 10 9 ...