  We tested the Ho\u{r}ava Lifshitz (HL) quantum gravity model by using the
L{\" u}, Mei and Pope solutions for primordial black holes (PBHs) and the
observational upper bounds of the PBH density parameters. We found that,
although the HL model is severely constrained, it is not ruled out. When our
analysis is combined with that of Dutta and Saridakis the observed value of the
density parameter $\Omega_{PBH}$ might rise by several percent as the running
energy parameter $\lambda$ increases.
