Measurements of the luminosity function of active galactic nuclei (AGN) at high redshift (z 6) are expected to suffer from field-to-field variance, including cosmic and Poisson variances. Future surveys, such as those from the Euclid telescope and James Webb Space Telescope (JWST), will also be affected by field variance. We use the Uchuu simulation, a state-of-the-art cosmological N -body simulation with 2.1 trillion particles in a volume of 25.7 Gpc 3 , that has sufficient mass resolution to resolve dwarf-size systems, combined with a semi-analytic galaxy and AGN formation model, to generate the Uchuu-ν 2 GC catalog, publicly available, that allows us to investigate the field-to-field variance of the luminosity function of AGN. With this Uchuu-ν 2 GC model, we quantify the cosmic variance as a function of survey area, AGN luminosity, and redshift. In general, cosmic variance decreases with increasing survey area and decreasing redshift. We find that at z ∼ 6 − 7, the cosmic variance depends weakly on AGN luminosity, in particular for small survey areas (0.01 and 0.1 deg 2 ). This is because the typical mass of dark matter haloes in which AGN reside does not significantly depend on luminosity. Due to the rarity of AGN, Poisson variance dominates the total field-to-field variance, especially for bright AGN. We also examine the effect of parameters related to galaxy formation physics on the field variance. We discuss uncertainties present in the estimation of the faint-end of the AGN luminosity function from recent observations, and extend this to make predictions for the expected number of AGN and their variance for upcoming observations with Euclid, JWST, and the Legacy Survey of Space and Time (LSST). In particular, we predict that the Euclid deep survey will find 120-240 (16-80) AGN -depending on the model -with rest-frame UV absolute magnitude brighter than −20 (−20.5) at z = 6.3 (z = 7) in the Euclid H-band deep survey. For the Euclid wide survey, we predict 15000-45000 (3000-15000) AGN with UV magnitude brighter than −22 (−22.5) will be detectable at z = 6.3 (z = 7).