We present the stellar mass ( M _ { * } ) , and K-corrected K -band absolute magnitude ( M _ { K } ) Tully-Fisher relations ( TFRs ) for sub-samples of the 584 galaxies spatially resolved in H \alpha emission by the KMOS Redshift One Spectroscopic Survey ( KROSS ) . We model the velocity field of each of the KROSS galaxies and extract a rotation velocity , V _ { 80 } at a radius equal to the major axis of an ellipse containing 80 % of the total integrated H \alpha flux . The large sample size of KROSS allowed us to select 210 galaxies with well measured rotation speeds . We extract from this sample a further 56 galaxies that are rotationally supported , using the stringent criterion V _ { 80 } / \sigma > 3 , where \sigma is the flux weighted average velocity dispersion . We find the M _ { K } and M _ { * } TFRs for this sub-sample to be M _ { K } / mag = ( -7.3 \pm 0.9 ) \times [ ( \log ( V _ { 80 } / { km s ^ { -1 } } ) -2.25 ] -23.4 \pm 0.2 , and \log ( M _ { * } / M _ { \odot } ) = ( 4.7 \pm 0.4 ) \times [ ( \log ( V _ { 80 } / { km s ^ { -1 } } ) -2.25 ] +1 % 0.0 \pm 0.3 , respectively . We find an evolution of the M _ { * } TFR zero-point of -0.41 \pm 0.08 dex over the last \sim 8 billion years . However , we measure no evolution in the M _ { K } TFR zero-point over the same period . We conclude that rotationally supported galaxies of a given dynamical mass had less stellar mass at z \sim 1 than the present day , yet emitted the same amounts of K -band light . The ability of KROSS to differentiate , using integral field spectroscopy with KMOS , between those galaxies that are rotationally supported and those that are not explains why our findings are at odds with previous studies without the same capabilities .