The modular structure for shelving comprises:—a plurality of vertical uprights comprising at least one pair of first teeth arranged one on top of the other to define a first interlocking plane;—a plurality of first metal sections provided with a cross section, higher than its width, of substantially tubular and parallelepiped shape, and with two ending parts provided with corners and with one pair of first clamping elements, arranged protruding in the proximity of the corners and superimposed on one another; the first clamping elements being spaced apart from one another to be coupled from top to bottom and in block configuration to any pair of the first teeth along the first interlocking plane, each first clamping element comprising a loop defining a passage slot and each of the ending parts of the first metal sections being substantially flat.