A method of manufacturing a grill-type support suitable to act as a support and tube spacing member for steam generators (particularly natural circulation steam generators for pressure water reactors), heat exchangers and the like, said support including an outer frame enclosing a lattice grid, said grid comprising strips having a determined thermal expansion, said frame being made of another material having different thermal expansion, characterized in that during assembling the outer frame is connected to the strips so as to be fast therewith and remain so for all the time required for manufacture, transport and erection, whereas as soon as said generator is set to work said frame of different material from the strips can move relative to said strips, so that, while surrounding and supporting such strips, a different thermal expansion is allowed for said strips and frame.