A modular system for dry building of structures includes a plurality of modular elements having a generally planar upper or lower wall and a plurality of side faces substantially perpendicular thereto, and further having a first end edge at the upper or lower wall and a second edge opposed thereto. Anchoring members couple the modular elements so that the planar walls cooperate to define a first plane generally parallel to or coinciding with the main development plane of the structure to be built, with each of the side faces interacting with each other. The second edges of the side faces cooperate to define a second plane generally parallel and opposed to the first plane. The anchoring members include first anchoring members that act in correspondence with the second plane to effectively counteract the tensile stresses developing in the structure due to a load acting on the first plane.