We report high-power laser operation that was achieved with a-cut and c-cut $\mathrm{Yb}:\mathrm{Lu}\mathrm{V}{\mathrm{O}}_4$ crystals. Up to $8.3\mathrm{W}$ of π-polarized output power was generated from an a-cut, $2\mathrm{mm}$ uncoated crystal with an optical conversion efficiency of 59%. The highest slope efficiency was 80%. Laser oscillation obtained with c-cut crystal was also linearly polarized, with two orthogonal polarization components along [110] and $\left[\overline{1}10\right]$ directions. The highest output power achieved was $4.5\mathrm{W}$ , with an optical conversion efficiency of 33% and a slope efficiency of 40%.