  We apply the non-perturbative renormalization group method to a class of
out-of-equilibrium phase transitions (usually called ``parity conserving'' or,
more properly, ``generalized voter'' class) which is out of the reach of
perturbative approaches. We show the existence of a genuinely non-perturbative
fixed point, i.e. a critical point which does not seem to be Gaussian in any
dimension.
