This work gives an analysis of support co-effects with rock massif by the use of mechanical models: elastic, elastoviscous, rigidplastic, elastoplastic elastoplastic non-homohenous and viscousplastic. From an aspect of experience, the mining support could be considered as rigid and elastic construction and also with certain features of circulation. Depending on mining-geological conditions, and in selection of methodology for support calculation, the required regimes of its work have to be taken into consideration.