Heat treatment of materials, including, in particular, the two-stage T6I6 treatment, enables the nucleation of precipitates with a two-phase structure: core and shell. The above-mentioned treatment can be used to harden materials by selecting suitable treatment parameters and chemical composition of the material that initiate a selective diffusion of the alloying elements. In this paper, tests of the T6I6 treatment were carried out on the EN AW-2024 alloy. The aluminium alloy was subject to T6I6 treatment and then the element distribution map was examined within the precipitate using the EDS method, mechanical properties of the precipitate were tested using the nanoindentation method and the kinetics of formation of the precipitate was analysed using DSC. The impact of two-phase precipitates on the mechanical properties has been determined through a static strength test, whereas the impact of the structure on the above-mentioned mechanical properties was determined based on HR-TEM observations. The results of the study confirm the formation of a precipitate with a two-phase structure (shell; core) in the EN AW-2024 alloy as well as the kinetics of their formation as a function of the parameters of the T6I6 process, such as temperature, duration and cooling rate. Strength tests have confirmed an increase in strength of the alloy to Rm = 520 MPa, with elongation remaining the same at A = 13.2%. HR-TEM observations, in turn, prove that the shell forming on the core is coherent with solid solution α, which means that the hardening of the alloy may occur as a sum of the Mott-Nabarro, Friedel and Ashby-Orowan mechanisms.