No, there are no laws prohibiting dumpster diving in Albuquerque, New Mexico. The only things to worry about are trespassing rules and dumpsters on private properties.
City in New Mexico
Albuquerque, New Mexico’s largest city, sits in the high desert. Its modern Downtown core contrasts with Old Town Albuquerque, dating to the city’s 1706 founding as a Spanish colony. Old Town is filled with historic adobe buildings, such as San Felipe de Neri Church, 5 museums, and shops selling Native American handicrafts. Nearby, The Indian Pueblo Cultural Center traces the area’s tribal history.