Are represented the results of studies on the development of the high-temperature (oxidation-resistant) fibroarmirovannykh composites with the application of volcanic pumice. The application of basaltic fibers in the composites makes it possible to increase strength, high-temperature (oxidation-resistant) properties of composite and to decrease shrinkage strain. Are revealed optimum percentage reinforcements by the volume by the fibres of concrete matrix and the relationship of fiber length to the diameter with the application of a method of the mathematical planning of experiment. The mathematical models of the strength properties of the composite are obtained
Keywords: portland cement, volcanic pumice, basaltic fiber, high-temperature (oxidation-resistant) properties, limit, compression strength and bend of the composite