We investigate the clustering properties of Lyman-break galaxies ( LBGs ) at z \sim 6 - 8 . Using the semi-analytical model Meraxes constructed as part of the Dark-ages Reionization And Galaxy-formation Observables from Numerical Simulation ( DRAGONS ) project , we predict the angular correlation function ( ACF ) of LBGs at z \sim 6 - 8 . Overall , we find that the predicted ACFs are in good agreement with recent measurements at z \sim 6 and z \sim 7.2 from observations consisting of the Hubble eXtreme Deep Field ( XDF ) , the Hubble Ultra-Deep Field ( HUDF ) and Cosmic Assembly Near-infrared Deep Extragalactic Legacy Survey ( CANDELS ) field . We confirm the dependence of clustering on luminosity , with more massive dark matter haloes hosting brighter galaxies , remains valid at high redshift . The predicted galaxy bias at fixed luminosity is found to increase with redshift , in agreement with observations . We find that LBGs of magnitude M _ { { AB ( 1600 ) } } < -19.4 at 6 \lesssim z \lesssim 8 reside in dark matter haloes of mean mass \sim 10 ^ { 11.0 } - 10 ^ { 11.5 } M _ { \odot } , and this dark matter halo mass does not evolve significantly during reionisation .