The present invention is a segmented LED lighting system. In particular, the present invention is directed to a set of channel segments connected by a flexible lens sleeve that can be positioned in a variety of ways. A printed circuit board with at least one LED is mounted in each channel segment. Each segment preferably has a base with two ribbed vertical sides. The lens sleeve is preferably coextruded from flexible acrylic and has opaque side grips that grip the ribbed vertical sides and a translucent lens portion with an air gap. Pairs of encapsulated PCB modules are preferably connected in series to allow the system to be cut in the field.