Keywords: energy-and resource savings; socio-technical system; rules-based fuzzy model; fuzzy cognitive model. The paper poses the problem of increasing the efficiency of energy-and resource saving in socio-technical systems, which consist of resource-intensive subsystems (for example, subsystems of electricity, heat and water supply). A compositional fuzzy model for efficiency estimating of energy-and resource saving of socio-technical systems is proposed. This compositional fuzzy model consists of the following models: firstly, a set of fuzzy cognitive models for estimating the effects of actions on the subsystems' indicators; secondly, a set of fuzzy rules-based models for efficiency estimating of energy-and resource saving of subsystems; thirdly, a generalized fuzzy model for efficiency estimating of energy-and resource saving of system as a whole. The procedure of compositional fuzzy modeling of energy-and resource saving in socio-technical systems is described.