  Leptogenesis is an appealing framework to account for the baryon asymmetry in
the universe. To this end physics beyond the Standard Model is demanded. In
this paper we investigate the possibility to attain successful leptogenesis
with composite Majorana neutrinos. We work in the framework of effective gauge
mediated and contact interactions without any reference to an underlying
compositeness theory. This approach is the one adopted in all current
experimental searches for composite fermions at colliders. In the case of gauge
mediated interactions, we calculate the CP asymmetry in heavy composite
neutrino decays. Both the direct and indirect CP asymmetry are derived and
resonant leptogenesis is also discussed. We find that the Sakharov conditions
can be met and, for some choice of the parameters, the correct order of
magnitude of the baryon asymmetry is reproduced.
