In this paper, we describe a multi-hypothesis prediction technique for disparity-compensated light field compression. Multi-hypothesis prediction has been used extensively in video compression. In this work, we apply multi-hypothesis prediction to the problem of light field compression. Most current techniques for light field compression utilze some form of disparity compensation with one hypothesis. We demonstrate that a multi-hypothesis approach, where two hypotheses are used, improves the overall efficiency of a light field coder. Our experimental results show an image quality gain of up to 1 dB in PSNR on our test data sets.