A housing is provided which includes an aluminum or aluminum alloy substrate, an aluminum layer and a corrosion resistant layer formed on the aluminum or aluminum alloy substrate in that order. The corrosion resistant layer is an Al—C—N layer. Then, Nd ions are implanted in the Al—C—N layer by ion implantation process. The atomic percentages of N and C in the Al—C—N gradient layer gradually increase from the side of Al—C—N gradient layer near the aluminum or aluminum alloy substrate to the other side of Al—C—N gradient layer, away from aluminum or aluminum alloy substrate. Therefore the housing has a high corrosion resistance. A method for making the housing is also provided.