A thermonuclear reactor is provided having a vacuum casing and blanket modules connected thereto with flexible supports. The flexible supports are formed from a material with high electrical conductivity. Each flexible support is secured at one end on the vacuum casing and at the other end on a blanket module, the two secured ends of each flexible support face the blanket module. The flexible support is formed from two hollow cylindrical elements placed one in the other and perforated by longitudinal slots in a part free from mountings. The ends of the hollow cylindrical elements opposite the secured ends are connected electrically and mechanically. The technical result consists in diverting eddy currents away from a blanket module of a thermonuclear reactor and simultaneously eliminating electrical connectors from the composition of a blanket and reducing bunching on a blanket module side facing the vacuum casing.