The constrained groove pressing (CGP) is one of severe plastic deformation (SPD) methods for producing ultra-fine grained sheet metal. The present research work is concerned with CGP process of 2024 Al alloy, with a high strength to weight ratio, at 300 °C, and for three cycles. With this regard, several tensile tests were performed to study the mechanical properties of various samples in different directions. By computing the Lankford anisotropy coefficient, normal and planar anisotropy were determined for specimens produced via up to three CGP passes. Moreover, pole figures (PF) and inverse pole figures (IPF) of various samples were prepared for texture analyses and finding the causes of variations in their UTS, elongation and anisotropy parameters. On the basis of texture analysis, it was found that 1-pass CGP could result in the highest normal anisotropy which means the lowest risk of fracture in a subsequent metal forming process such as deep drawing. The highest texture intensity was also owned by the 1-passed specimen. On the other hand, the 2-passed workpiece demonstrated the lowest absolute planar anisotropy value which could be beneficial for an additional forming operation.