The invention concerns a system comprising at least two panels, particularly floor panels for forming a covering. The panels have first and second lateral edges, which can be connected by a movement substantially perpendicular to the covering. The first lateral edge has a locking member coupled to a spring so that an inner position exerts a restoring force on the locking member in the direction of the outer position. The second lateral edge has a locking element that cooperates with the locking member. The locking member and locking element each have a locking face. To withstand higher vertical extraction forces, the first and second lateral edges are designed to connect by a movement directed from top to bottom of the second lateral edge, and the locking faces, when connected, lock the second lateral edge against upward lifting, while the locking member is supported with respect to the panel.