A new method that utilises theories of thermally activated deformation and repeated transient stress-relaxation tests has been proposed and validated in this study for the characterisation and modelling of the stress-relaxation ageing (SRA) behaviour of aluminium alloys and its dependence on stress and temperature. Using the new method, key deformation-related variables, i.e. stress components, activation volume and energy, of the aerospace grade heattreatable aluminium alloy AA7B04 have been obtained as a function of ageing temperature (388, 413 and 438 K), stress (both elastic and plastic) and SRA time (up to 4 h). It has been found that the apparent activation energy Qa of the material remains constant in the elastic region but decreases with increasing strain in the plastic region, and also decreases with increasing temperature for all initial loading stresses. These characteristics contribute to a much higher degree of stress-relaxation in the plastic region and at higher temperatures than in the elastic region and/or at lower temperatures. The obtained changing activation volume V and Qa indicate that the deformation rate is controlled by forest dislocation interactions in the elastic region (V decreases from over 200b 3 to less than 100b 3 ), and by a cross-slip mechanism at high stress levels in the plastic region (V decreases to a few tens of b 3 ). Based on these theories and results, a novel and simple constitutive model has been proposed, with which the stressrelaxation behaviour of AA7B04 at different ageing temperatures (388 to 448 K), pre-loaded from elastic to plastic regions for up to 16 h has been successfully predicted. The proposed model eliminates the limitations of conventional SRA models which mainly deal with elastic loading and isothermal conditions, and provides a foundation to effectively predict the springback after advanced non-isothermal SRA forming of aluminium alloy structures in the aerospace industry.