This is directed to a LED light fixture having a shaped light guide array with a CPC reflector for directing light off-axis, and methods for constructing the same. A LED light fixture includes a LED module providing light and an elongated light guide array placed adjacent to the LED module. The elongated light guide array can include a curved outer surface through which light is emitted into an environment. To further control the output of light, and to direct light off-axis, the light guide array can include a CPC reflector disposed around a boundary or periphery of the light guide array. The CPC reflector can be angled such that light is directed at angles above a cut-off angle by which the reflector is rotated about a focus.