A construction system includes a set of constituent elements, at least one of which includes at least two superimposed folds each including at least two wooden structural boards. In this system, at least two constituent elements are fixed together by a non-adhesive fixing device and at least two adjacent folds are held against each other by non-adhesive holding device. The faces in contact with two structural boards are at least partially provided, at their contact interface, with a set of grooved patterns arranged so as to prevent the structural boards from sliding one relative to the other along at least one first immobilisation axis. A method for manufacturing such a construction system is also disclosed.