Self-compacting high-strength concrete (SCHSC) is an innovative concrete that has superior physical and mechanical properties, and does not require vibration for placing and compaction. Heat treatment (HT) of SCHSC can significantly accelerate the strength growth during cast-in-situ construction, and allows to reduce the turnover of formwork, the labor costs for construction, and the construction period. The issue of strength development of SCHSC during HT has been studied. SCHSC of R28 = 100 MPa was studied. Test specimens were cured with HT by infrared rays for 7, 9, 11, 13, 16 and 24 hours. Then warmed specimens were tested for compressive strength after 0.5, 4, 12 and 24 hours of cooling period. Study was carried out on the basis of analyzing, generalizing and evaluations of experimental data. A mathematical model is proposed for determining the compressive strength of SCHSC after one day of curing with HT. © 2019 Trans Tech Publications Ltd, Switzerland.