Abstract
Nuclear reactors based on fission of heavy nuclei were created a decade after the discovery of uranium fission by neutrons. Attempts to create reactors based on synthesis of light nuclei have been continuing for more than seven decades. The main direction of their implementation repeats natural technologies - implementation of reactions under the influence of high (stellar) temperatures. This direction has faced a lot of problems, and in the modern sense requires huge investments for its implementation. There are developments based on the use of accelerator technology. In this paper, there is an assessment of feasibility to create synthesis reactors using colliding ion beams of the D-D, D-T, D-3He reactions. The technical solutions applicable for their implementation are shown, advantages of such reactors over thermonuclear reactors, possibility of producing fuel for them and the problems that arise.