We propose a mathematical model to fit the temperature-dependent thermal conductivity of M 1−x R x F 2+x heterovalent solid solutions where M stands for alkaline-earth metals and R for rare-earth metals. These solid solutions experience composition-driven transition from the crystal-like to glass-like behavior of thermal conductivity. When tested on Ca 1−x Yb x F 2+x solid solutions, the model showed a potential for use with an option for further improvements. KEYWORDS thermal conductivity, thermal resistance, temperature dependence, solid solution, mathematical model FOR CITATION P. A. Popov, A. V. Shchelokov, P. P. Fedorov Numerical model of temperature-dependent thermal conductivity in M 1−x R x F 2+x heterovalent solid solution nanocomposites where M stands for alkaline-earth metals and R for rare-earth metals .