The metallography, stress, electric resistance and temperature in Cu-12Al-5Ni-3Mn mass % alloy have been measured simultaneously during the direct and inverse martensitic transformation. The preferred orientation of martensite in a hot-rolled sample is along the rolling direction. When the sample is cooled under a tensile stress from a high temperature (>Af) to room temperature (<Mf), the preferred orientation of martensite is along the direction which has an angle of 45° to the direction of tensile stress. On cooling, the orientation of some secondary martensite has an angle of 45° with the primary martensite. The shift of zero point of the internal friction torsion pendulum i.3. the shape change during martensitic transformation is discussed in terms of the preferred orientation of martensite.