Single self-assembled InAs/GaAs quantum dots are promising bright sources of indistinguishable photons for quantum information science. However, their distribution in emission wavelength, due to inhomogeneous broadening inherent to their growth, has limited the ability to create multiple identical sources. Quantum frequency conversion can overcome this issue, particularly if implemented using scalable chip-integrated technologies. Here, we report the first demonstration to our knowledge of quantum frequency conversion of a quantum dot single-photon source on a silicon nanophotonic chip. Single photons from a quantum dot in a micropillar cavity are shifted in wavelength with an on-chip conversion efficiency approximate to 12%, limited by the linewidth of the quantum dot photons. The intensity auto-correlation function g((2)) (tau) for the frequency-converted light is antibunched with g((2)) (0) = 0.290 +/- 0.030, compared to the before-conversion value g((2)) (0) = 0.080 +/- 0.003. We demonstrate the suitability of our frequency-conversion interface as a resource for quantum dot sources by characterizing its effectiveness across a wide span of input wavelengths (840-980 nm) and its ability to achieve tunable wavelength shifts difficult to obtain by other approaches. (C) 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement