The comparison of numerous simulations of the non-equilibrium condensation in nozzles in the frame of recently finished “International Wet Steam Modelling Project” [1] showed a certain spread of results caused not only by used condensation models, but most probably by numerical methods as well. Current condensation models require a fine tuning of some parameters to fit the nucleation onset as well as the correct size of droplets. This fine tuning is very sensitive, therefore the properties of used numerical method play also an important role. Present paper tries to show the effects of discretization, order of method and time integration on the results for several examples of flow with non-equilibrium condensation in nozzle.