  In this paper we mainly investigate the traveling wave solution of the two
dimensional Euler equations with gravity at the free surface over a flat bed.
We assume that the free surface is almost periodic in the horizontal direction.
Using conformal mappings, one can change the free boundary problem into a fixed
boundary problem with some unknown functions in the boundary condition. By
virtue of the Hilbert transform, the problem is equivalent to a quasilinear
pseudodifferential equation for a almost periodic function of one variable. The
bifurcation theory ensures us to obtain a existence result. Our existence
result generalizes and covers the recent result in \cite{Constantin2011v}.
Moreover, our result implies a non-uniqueness result at the same bifurcation
point.
