This dataset includes the numerical results discussed in the paper entitled "Elastic modelling of lattice distortions in concentrated random alloys" published in Acta Materialia 257 in September 2023 (https://doi.org/10.1016/j.actamat.2023.119117). These results are obtained from molecular statics calculations and all the details of these simulations (interatomic potentials, size of the system, minimization algorithm, etc.) are described in the associated article. The results are reported here as .csv files encoded in ASCII where the data is organized in columns separated by blank spaces. The first line of the files include a bried description of each column and a README.txt file associated to each folder include a more precise description of its content and of its relation with the article's figures.