  We study homological mirror symmetry for Hirzebruch surface $\mathbb{F}_k$ as
a complex manifold by using the Strominger-Yau-Zaslow construction of mirror
pair and Morse homotopy. For the toric Fano surfaces, Futaki-Kajiura and the
author proved homological mirror symmetry by using Morse homotopy in
arXiv:2008.13462, arXiv:2012.06801, and arXiv:2303.07851. In this paper, we
extend Futaki-Kajiura's result of Hirzebruch surface $\mathbb{F}_1$ to
$\mathbb{F}_k$. We discuss Morse homotopy and show homological mirror symmetry
in the sense above holds true.
