The host galaxy of the quasar SDSS J114816.64+525150.3 (at redshift z=6.42, when the Universe was <1 billion years old) has an infrared luminosity of 2.2×10 13 L 1,2 ⊙ , presumably significantly powered by a massive burst of star formation 3,4,5,6 . In local examples of extremely luminous galaxies such as Arp 220, the burst of star formation is concentrated in the relatively small central region of < 100 pc radius 7,8 . It is unknown on which scales stars are forming in active galaxies in the early Universe, which are likely undergoing their initial burst of star formation. We do know that at some early point structures comparable to the spheroidal bulge of the Milky Way must have formed. Here we report a spatially resolved image of [CII] emission of the host galaxy of J114816.64+525150.3 that demonstrates that its star forming gas is distributed over a radius of ∼ 750 pc around the centre. The surface density of the star formation rate averaged over this region is ∼1000 M ⊙ year −1 kpc −2 . This surface density is comparable to the peak in Arp 220, though ∼2 orders of magnitudes larger in area. This vigorous star forming event will likely give rise to a massive spheroidal component in this system.The forbidden 2 P 3/2 → 2 P 1/2 fine-structure line of ionized Carbon ([CII]) at 158 microns provides effective cooling in regions where atomic transitions cannot be excited, and therefore helps gas clouds to contract and form stars. [CII] emission is thus known to be a fundamental diagnostic tool of the starforming interstellar medium 9,10 . Given the very bright continuum emission of the central accreting black hole of quasars in optical and near-infrared wavebands, standard star formation tracers (such as hydrogen recombination lines) cannot be used to study star formation in these systems. The [CII]