Recent observations have revealed massive galactic molecular outflows 1-3 that may have physical conditions (high gas densities 4-6 ) required to form stars. Indeed, several recent models predict that such massive galactic outflows may ignite star formation within the outflow itself 7-11 . This star-formation mode, in which stars form with high radial velocities, could contribute to the morphological evolution of galaxies 12 , to the evolution in size and velocity dispersion of the spheroidal component of galaxies 11,13 , and would contribute to the population of highvelocity stars, which could even escape the galaxy 13 . Such star formation could provide in-situ chemical enrichment of the circumgalactic and intergalactic medium (through supernova explosions of young stars on large orbits), and some models also predict that it may contribute substantially to the global star formation rate observed in distant galaxies 9 . Although there exists observational evidence for star formation triggered by outflows or jets into their host galaxy, as a consequence of gas compression, evidence for star formation occurring within galactic outflows is still missing. Here we report new spectroscopic observations that unambiguously reveal star formation occurring in a galactic outflow at a redshift of 0.0448. The inferred star formation rate in the outflow is larger than 15 M ¤ /yr. Star formation may also be occurring in other galactic outflows, but may have been missed by previous observations owing to the lack of adequate diagnostics 14,15 .IRAS F23128-5919 is a merging system (Fig.1a), in which the southern nucleus hosts an obscured active nucleus (AGN), detected in the X-rays 16 . Past observations had already revealed a prominent outflow developing from the southern nucleus 14,15,[17][18][19] , driven by the nuclear starburst, or by the AGN, or both. We analyzed archival Very Large Telescope (VLT) spectroscopic observations, obtained with the MUSE instrument, of the optical nebular lines to better characterize the outflow. The nebular emission line profiles can be clearly separated into a narrow component, associated with the interstellar medium in the two galactic disks, and a very broad (Full Width Half Maximum, FWHM~600-1,000 km/s), predominantly blueshifted component tracing the outflow. The velocity field, velocity dispersion, surface brightness maps of the two components are shown in Fig. 1a. The narrow component (bottom row in Fig. 1a) is probably tracing the bulk of the dynamics of the two merging disks. The outflow traced by the broad blueshifted component (top row in Fig. 1a) of the nebular lines extends towards the East of the southern nucleus for about 7-9 kpc (8"-10"), beyond the optical galactic disk. A receding counter-outflow is also observed in the opposite direction, i.e. towards the West (although weaker, owing to extinction by the galactic disk).We have observed the central and eastern outflows with the X-shooter spectrograph at the VLT, which enabled the detection of spectral diagnostics over the en...