Monte Carlo calculations of the drift velocity and mean energy vs electric field inn‐type GaAs with a superlattice are reported. The model allows for phonon scattering, and a simple sinusoidal band shape in the direction of the superlattice is assumed. Negative differential mobility and energy saturation appear, and their variation with lattice temperature and miniband width is discussed. The threshold field decreases and the absolute value of the differential mobility increases with decreasing lattice temperature, while the miniband width has minor influence on these parameters. Schockley streaming is observed at low lattice temperature.