The invention relates to a compound type memory alloy friction damper, which is mainly composed of a main board, a sub board, a friction plate, a hyperelastic shaped memory alloy wire, a resetting pulling rod, a U-shaped pre-strained adjusting plate and a high strength bolt. The invention is characterized in that the friction plate is inserted between the main board and the sub board, a bolt movable hole and a pulling rod movable hole are reserved on the main board, and a bolt hole and the pulling rod movable hole are reserved on the sub board and the friction plate; the high strength bolt penetrates through the bolt hole on the sub board and the friction plate and the bolt movable hole on the main board; the resetting pulling rod penetrates through the pulling rod movable hole on the main board, the sub board and the friction plate; the hyperelastic shaped memory alloy wire penetrates through the resetting pulling rod and the U shaped pre-strained adjusting plate, and the both ends are respectively pulled tightly and fixed with a clamping device, the interval between the U shaped pre-strained adjusting plate and the resetting pulling rod is adjusted through an adjusting bolt, to ensure the hyperelastic shaped memory alloy wire to reach the required initial strain. The invention has the advantages that the capacity of the energy dissipation is strong, the resetting is automatic, the structure type is simple, and the invention is convenient for the application of the engineering.