A connector element for a rod and connector construction toy set of the type enabling a lateral snap-in assembly of rod elements into sockets of the connector is formed of two hingedly connected connector half sections. Each connector half section is formed along one edge with one male and one female hinge element such that two identical connector half sections can be joined together, by a snap-together action of the hinge elements, to form a connector element with one half pivotally movable relative to the other half. Each connector half section is formed with a plurality of rod-engaging sockets accommodating the construction of complex, three-dimensional structures. Advantageously, the two connector half sections are of identical construction, such that both components may be formed of a single mold configuration.