We present HI spectral-line imaging of the extremely metal-poor galaxy DDO 68. This system has a nebular oxygen abundance of only 3% Z$_{odot}$, making it one of the most metal-deficient galaxies known in the local volume. Surprisingly, DDO 68 is a relatively massive and luminous galaxy for its metal content, making it a significant outlier in the mass-metallicity and luminosity-metallicity relationships. The origin of such a low oxygen abundance in DDO 68 presents a challenge for models of the chemical evolution of galaxies. One possible solution to this problem is the infall of pristine neutral gas, potentially initiated during a gravitational interaction. Using archival HI spectral-line imaging obtained with the Karl G. Jansky Very Large Array, we have discovered a previously unknown companion of DDO 68. This low-mass (M$_{rm HI}$ $=$ 2.8$times$10$^{7}$ M$_{odot}$), recently star-forming (SFR$_{rm FUV}$ $=$ 1.4$times$10$^{-3}$ M$_{odot}$ yr$^{-1}$, SFR$_{rm Halpha}$ $<$ 7$times$10$^{-5}$ M$_{odot}$ yr$^{-1}$) companion has the same systemic velocity as DDO 68 (V$_{rm sys}$ $=$ 506 km s$^{-1}$; D $=$ 12.74$pm$0.27 Mpc) and is located at a projected distance of 42 kpc. New HI maps obtained with the 100m Robert C. Byrd Green Bank Telescope provide evidence that DDO 68 and this companion are gravitationally interacting at the present time. Low surface brightness HI gas forms a bridge between these objects.