The fundamental contribution of A.S. Predvoditelev and his pupils was made in the field of physic-chemical bases of process of heterogeneous burning that promoted the decision of actual problem of coal burning intensification and its gasification. In 1950 this work was awarded the State Prize. In the area of theory of homogeneous burning he created a special direction developing V. A. Mihelson's ideas about the process of flame front distribution in combustible media. Research of A.S. Predvoditelev and his pupils connected with solving of gas-dynamic problems are of great value. One of the basic results of this work are detailed tables of gas-dynamic and thermodynamic values for air at temperatures up to 20 000 To and pressure from 0,001 up to 1000 аtm. They were published in 1957-1962.

The results of A.S. Predvoditelev's scientific research are published in three monographs and approximately in 200 scientific articles.

A.S. Predvoditelev's activity as founder and organizer of scientific personnels successfully working in many scientific and educational institutions is not less significant. Among them it is necessary to specify such large establishments as Power institute named after M. Krzhizhanovskiy, all-USSR heat engineering institute. There are branches of A.S. Predvoditelev's school in Leningrad, Odessa, Kazan, Baku, Saratov, Voronezh, Yaroslavl, Tomsk, Tashkent, etc. There are a lot of Doctors and Ph.D. in Science among his pupils.