We designed an optical add/drop multiplexer for orbital-angular-momentum (OAM)-multiplexed data links by taking advantage of the ring-shaped intensity profile of OAM beams. We demonstrated adding/dropping a single OAM beam from three multiplexed OAM beams using liquid-crystal-on-silicon-based diffraction optical elements. For multiplexed OAM beams carrying 100 Gbit/s quadrature phase-shift-keying data, a power penalty of <2 dB is observed to achieve a bit-error rate of 2.0×10(-3) for each channel of the add/drop multiplexer.