  The stochastic quantization method is applied to the recent proposal by
Ho\v{r}ava for gravity. We show that in contrast to General Relativity, the
Ho\v{r}ava's action, satisfying the detailed balance condition, has a stable,
non-perturbative quantum vacuum when the DeWitt parameter $\lambda$ is not
greater than 1/3, providing a possible candidate for consistent quantum
gravity.
