This talk is devoted to the proof of one side of homological miror symmetry for punctured spheres: the wrapped Fukaya category of a punctured sphere ($S^2$ with at least three points removed) is equivalent to the (Karoubian closure of) triangulated category of singularities of a mirror Landau- Ginzburg model. This is a joint work with M. Abouzaid, D. Auroux, L. Katzarkov and D. Orlov.