A connecting means for construction elements, e.g. (toy) building blocks, comprises a strip-shaped member having a thickened portion and a component of a detachable connecting mechanism. The strip-shaped member is insertable into a groove in the side faces of the construction elements. To that component of the detachable connection, e.g. to a nut, further construction elements can be attached in a simple but stable manner. The detachable mechanism is preferably the one that is provided in the construction element for connections without using the connecting means. The connecting means thus allows an extension of the assembly possibilities in a stable manner in other directions than those provided by the construction elements themselves.