The invention relates to a flexible LED strip, comprising modules that include light-emitting diodes (3) arranged successively at intervals, in particular equal intervals longitudinally, wherein the light-emitting diodes (3) of each module are electrically interconnected on one circuit board (2) each, in particular together with other electronic modules (4), and the LED strip can be severed between the modules, in particular without destroying the electrical functionality of the modules, wherein each module has at least one contact region at which a power supply can be connected to the module and all circuit-board sections (2) are mounted in a flexible enclosure (1), wherein the at least one contact region of each module extends through the enclosure (1) and can be electrically contacted outside the enclosure (1). The invention furthermore relates to an end piece (7), a coupling piece (8), and a connector piece for power-supply lines (6) or control-signal lines (6) of this LED strip.