Grid bodies which consist of two parallel plane grid mats of longitudinal and transverse wires crossing one another and welded together at the points of cross, and of spacer wires, which hold the mats spaced apart and which are welded at each end to one wire of one of the two grid mats, are produced in a continuous method and in such a way that if necessary an insulating core may be introduced into the grid body during its production. For this purpose two widths (3,4) of grid matting are drawn off in steps from stock coils (1,2), straightened and arranged at a distance apart. Simultaneously a number of wires (22,23) are drawn off in steps from stock coils (20,21), straightened and introduced through one (3) of the widths (3,4) of grid matting from the side into the gap between the widths of grid matting, welded to one wire in each width of grid and separated from the wire stock.