Four-color photometry obtained with the Hubble Space Telescope is consistent with the hypothesis that the light from the quasar 1208 + 1011 (z = 3.8) is gravitationally lensed. Guided exposures taken with the HST Planetary Camera resolve the quasar image into two point-source components separated by 0."476 +/- 0."004. The intensity ratio of the components is approximately 4:1 in each of four broad-band HST filters with mean wavelengths of 4352, 5416, 6898, and 8922 angstrom. The HST photometry, when combined with high-resolution ground-based spectroscopy, rules out the possibility that the secondary component is a Galactic star. The limit on additional point sources is 3% of the brighter image for separations greater than 0."5 from the primary component and 5% of the brighter component for separations between 0."1 and 0."5. If the gravitational lens is an ordinary galaxy, it would not have been detected on the HST images.