We investigate string-like solutions in four dimensions based on Hoˇrava-Lifshitz
gravity. For a restricted class of solutions where the Cotton tensor vanishes, we find that
the string-like solutions in Einstein gravity including the BTZ black strings are solutions
in Hoˇrava-Lifshitz gravity as well. The geometry is warped in the same way as in Einstein
gravity, but the “conformal” lapse function is not constrained in Hoˇrava-Lifshitz gravity.
It turns out that if λ 6= 1, there exist no other solutions. For the value of model parameter
with which Einstein gravity recovers in IR limit (i.e., λ = 1), there exists an additional
solution of which the conformal lapse function is determined. Interestingly, this solution
admits a uniform BTZ black string along the string direction, which is distinguished from
the warped BTZ black string in Einstein gravity. We also point out that this solution
is exactly the same with the black string solution obtained in a low-energy string theory
action including the dilaton and the Kalb-Ramond fields.