  We prove the first bifurcation result of time quasi-periodic traveling waves
solutions for space periodic water waves with vorticity. In particular we prove
existence of small amplitude time quasi-periodic solutions of the
gravity-capillary water waves equations with constant vorticity, for a
bidimensional fluid over a flat bottom delimited by a space-periodic free
interface. These quasi-periodic solutions exist for all the values of depth,
gravity and vorticity, and restricting the surface tension to a Borel set of
asymptotically full Lebesgue measure.
