  In the probe limit, we numerically build a holographic $p$-wave superfluid
model in the four-dimensional Lifshitz black hole coupled to a Maxwell-complex
vector field. We observe the rich phase structure and find that the Lifshitz
dynamical exponent $z$ contributes evidently to the effective mass of the
matter field and dimension of the gravitational background. Concretely, we
obtain the Cave of Winds appeared only in the five-dimensional anti-de
Sitter~(AdS) spacetime, and the increasing $z$ hinders not only the condensate
but also the appearance of the first-order phase transition. Furthermore, our
results agree with the Ginzburg-Landau results near the critical temperature.
In addition, the previous AdS superfluid model is generalized to the Lifshitz
spacetime.
