Context. The high extinction and extreme source crowding of the central regions of the Milky Way are serious obstacles to the study of the structure and stellar population of the Galactic centre (GC). Existing surveys that cover the GC region (2MASS, UKIDSS, VVV, SIRIUS) do not have the necessary high angular resolution. Therefore, a high-angular-resolution survey in the near infrared is crucial to improve the state of the art. Aims. Here, we present the GALACTICNUCLEUS catalogue, a near infrared JHK(s) high-angular-resolution (0.2 '') survey of the nuclear bulge of the Milky Way. Methods. We explain in detail the data reduction, data analysis, calibration, and uncertainty estimation of the GALACTICNUCLEUS survey. We assess the data quality comparing our results with previous surveys. Results. We obtained accurate JHK(s) photometry for similar to 3.3 x 10(6) stars in the GC detecting around 20% in J, 65% in H; and 90% in K-s. The survey covers a total area of similar to 0.3 deg(2), which corresponds to similar to 6000 pc(2). The GALACTICNUCLEUS survey reaches 5 sigma detections for J similar to 22 mag, H similar to 21 mag, and K-s similar to 21 mag. The uncertainties are below 0.05 mag at J similar to 21 mag, H similar to 19 mag, and K-s similar to 18 mag. The zero point systematic uncertainty is <= 0.04 mag in all three bands. We present colour-magnitude diagrams for the di fferent regions covered by the survey.