A list of mineral species known up to 2012 (4809) have been compiled. Each mineral species are marked by a set of n-component chemical system (where n = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10). The taxonomy of mineral species have been discussed. It is shown that an important advantage of the proposed taxonomy is possible to establish a strict order for the mineral species, when each of them has a unique position. Identification of a simple way of ordering minerals can effectively use computer equipment for search and matching of thermodynamic information.