Recently , Carnall et al . discovered two bright high redshift quasars using the combination of the VST ATLAS and WISE surveys . The technique involved using the 3-D colour plane i - z:z - W 1 :W 1 - W 2 with the WISE W 1 ( 3.4 micron ) and W 2 ( 4.5 micron ) bands taking the place of the usual NIR J band to help decrease stellar dwarf contamination . Here we report on our continued search for 5.7 < z < 6.4 quasars over an \approx 2 \times larger area of \approx 3577 deg ^ { 2 } of the Southern Hemisphere . We have found two further z > 6 quasars , VST-ATLAS J158.6938-14.4211 at z = 6.07 and J332.8017-32.1036 at z = 6.32 with magnitudes of z _ { AB } = 19.4 and 19.7 mag respectively . J158.6938-14.4211 was confirmed by Keck LRIS observations and J332.8017-32.1036 was confirmed by ESO NTT EFOSC-2 observations . Here we present VLT X-shooter Visible and NIR spectra for the four ATLAS quasars . We have further independently rediscovered two z > 5.7 quasars previously found by the VIKING/KiDS and PanSTARRS surveys . This means that in ATLAS we have now discovered a total of six quasars in our target 5.7 < z < 6.4 redshift range . Making approximate corrections for incompleteness , we find that our quasar space density agrees with the SDSS results of Jiang et al . at M _ { 1450 \textup { \AA } } \approx - 27 . Preliminary virial mass estimates based on the CIV and MgII emission lines give black hole masses in the range M _ { BH } \approx 1 - 6 \times 10 ^ { 9 } M _ { \odot } for the four ATLAS quasars .