We have investigated Γ–X intervalley transfer tunneling by measuring currents at low temperature in a series of single AlAs barrier samples grown on GaAs substrates. The transfer occurs at AlAs-GaAs interfaces and is intrinsic because the translational symmetry is broken in the growth direction of the epitaxial layered structures. Calculated current-voltage characteristics employing a simple effective mass model which includes Γ–X transfer at heterointerfaces agree reasonably well with experiments, while calculations assuming only the Γ-band potential predict currents several orders of magnitude lower than experiments.