  We study holographic superconductors in a Ho\v{r}ava-Lifshitz black hole
without the condition of the detailed balance. We show that it is easier for
the scalar hair to form as the parameter of the detailed balance becomes
larger, but harder when the mass of the scalar field larger. We also find that
the ratio of the gap frequency in conductivity to the critical temperature,
$\omega_{g}/T_c$, almost linear decreases with the increase of the balance
constant. For $\epsilon= 0$ the ratio reduces to Cai's result
$\omega_g/T_c\approx 13$ found in the Ho\v{r}ava-Lifshitz black hole with the
condition of the detailed balance, while as $\epsilon \rightarrow 1$ it tends
to Horowitz-Roberts relation $\omega_g/T_c\approx 8$ obtained in the AdS
Schwarzschild black hole. Our result provides a bridge between the results for
the H\v{o}rava-Lifshitz theory with the condition of the detailed balance and
Einstein's gravity.
