Matrices associated with D-distance magic graphs are considered in the paper. Results regarding the spectral properties of these matrices have been obtained. It has been proved that if two graphs G and H of the same order have similar distance matrices \( {A}_{D_1} \) and \( {A}_{D_2} \) , respectively, then graph G is D1-distance magic if and only if H is a D2-distance magic graph. Graphs G and H are called magic distance-similar and their distance magic constants have been proved to coincide.