A modular construction system that is adapted to create structures and comprises a link, a first beam, and a second beam. The first beam includes sides and ends, wherein the sides of the first beam each include an engagement slot adapted to receive the link and maintain engagement therewith through a friction fit. Furthermore, the ends of the first beam each include a cross-slot adapted to receive the link and maintain engagement therewith through a friction fit. The second beam including sides and ends, wherein the sides of the second beam each include an engagement slot adapted to receive the link and maintain engagement therewith through a friction fit. In addition, the ends of the second beam each include a cross-slot adapted to receive the link and maintain engagement therewith through a friction fit such that the link connects the first beam with the second beam.