This article presents the results of experimental tests of creep rupture and of low-cycle fatigue (LCF) of EN-AW 2024 aluminum alloy devoid of damage and having preliminary damage. The preliminary damage was dealt in the process of creep at elevated temperature 100 C, 200 C, and 300 C until achievement of two different strain values at each temperature. Samples with preliminary damage were subjected to fatigue tests at room temperature. Based on the results of experimental tests, a simple damage accumulation model was proposed for creep at different temperatures. In this model, growth of the damagestate variable was made dependent on the current value of axial stress and on growth of plastic strain. This model was also adapted for description of damage accumulation in the process of LCF for both as-received material and material with creep pre-deformation. In both cases, that is, creep and LCF, the model's parameters were determined and it was experimentally verified.