  Let F be a holomorphic foliation of P^2 by Riemann surfaces. Assume all the
singular points of F are hyperbolic. If F has no algebraic leaf, then there is
a unique positive harmonic $(1,1)$ current $T$ of mass one, directed by F. This
implies strong ergodic properties for the foliation. We also study the harmonic
flow associated to the current $T.$
