We measure the bulk flow of the local Universe using the 6dF Galaxy Survey peculiar velocity sample ( 6dFGSv ) , the largest and most homogeneous peculiar velocity sample to date . 6dFGSv is a Fundamental Plane sample of \sim 10 ^ { 4 } peculiar velocities covering the whole southern hemisphere for galactic latitude |b| > 10 ^ { \circ } , out to redshift { z = 0.0537 } . We apply the ‘ Minimum Variance ’ bulk flow weighting method , which allows us to make a robust measurement of the bulk flow on scales of 50 and 70 h ^ { -1 } { Mpc } . We investigate and correct for potential bias due to the lognormal velocity uncertainties , and verify our method by constructing { \Lambda \textrm { CDM } } 6dFGSv mock catalogues incorporating the survey selection function . For a hemisphere of radius 50 h ^ { -1 } { Mpc } we find a bulk flow amplitude of U = { 248 \pm 58 } { km } { s } ^ { -1 } in the direction ( l,b ) = ( { 318 ^ { \circ } \pm 20 ^ { \circ } } , { 40 ^ { \circ } \pm 13 ^ { \circ } } ) , and for 70 h ^ { -1 } { Mpc } we find U = { 243 \pm 58 } { km } { s } ^ { -1 } , in the same direction . Our measurement gives us a constraint on \sigma _ { 8 } of 1.01 ^ { +1.07 } _ { -0.58 } . Our results are in agreement with other recent measurements of the direction of the bulk flow , and our measured amplitude is consistent with a { \Lambda \textrm { CDM } } prediction .