  We present a new stationary solution to the field equations of
Ho\v{r}ava-Lifshitz gravity with the detailed balance condition and for any
value of the coupling constant \lambda > 1/3 . This is the generalization of
the corresponding spherically symmetric solution earlier found by L\"{u}, Mei
and Pope to include a small amount of angular momentum. For the relativistic
value \lambda = 1, the solution describes slowly rotating AdS type black holes.
With a soft violation of the detailed balance condition and for \lambda = 1 ,
we also find such a generalization for the Schwarzschild type black hole
solution of the theory. Finally, using the canonical Hamiltonian approach, we
calculate the mass and the angular momentum of these solutions.
