Static electric-field domains as well as current self-oscillations due to domain-wall oscillations have been observed in undoped, type-II GaAs-AlAs superlattices under photoexcitation. Photoluminescence measurements clearly demonstrate the coexistence of low-and high-field domains in the static and oscillating domain voltage regime. A comparison with the calculated energy level distribution indicates that the static domains are connected with negative differential velocity ͑NDV͒ due to resonant transfer between X 2 in the AlAs layer and ⌫ 1 in the GaAs layer, while the oscillating domains are attributed to NDV originating from resonant tunneling between X 1 and X 2 in the AlAs layers. This observation demonstrates the importance of transport channels due to the indirect band structure of type-II superlattices. ͓S0163-1829͑96͒51328-7͔