Abstract: An innovative multidimensional shape memory alloy (SMA) damper is developed based on shape memory alloy, which can produce axial and torsional damping by converting torsional deformation to stretching of SMA wires. Construction and the working principle of the device are introduced in detail. Cyclic loading test was carried out to study the influence of loading amplitudes, loading frequency and initial strain on the performance of the damper. To simulate the mechanical property of the damper, a theoretical model of the damper was established based on improved Graesser-Cozzarelli constitutive model. The results of numerical simulation are in good agreement with experimental data, which verified the validity of the prediction model.