  We present a well-tempered DeWitt wave function, which vanishes at the
classical big-bang singularity, in Ho\v{r}ava-Lifshitz (HL) cosmology with
tensor perturbation, both analytically and numerically. In general relativity,
the DeWitt wave function is ill-behaved once the tensor perturbation is taken
into account. This is essentially because the amplitude of the perturbation
diverges at the singularity and the perturbative expansion completely breaks
down. On the other hand, in HL gravity it is known that the higher dimensional
operators required by the perturbative renormalizability render the tensor
perturbation scale-invariant and regular all the way up to the singularity. In
this paper we analytically show that in $d+1$ dimensional HL gravity the DeWitt
wave function for tensor perturbation is indeed well-defined around the
classical big-bang singularity. Also, we numerically demonstrate the
well-behaved DeWitt wave function for tensor perturbation from the big-bang to
a finite size of the Universe.
