We report the statistical detection (at the >99% confidence level) of a population of 28th magnitude objects exhibiting proper motions of approximate to 1 '' hr(-1) at quadrature in deep Hubble Space Telescope (HST)/WFPC2 images. The drift directions imply a preponderance of objects on prograde orbits concentrated near the ecliptic plane. We interpret this as the detection of objects which reside in the Kuiper belt near or beyond the orbit of Neptune, comparable in size to comet 1P/Halley (radii similar to 10 km for an albedo of 4%). Our observations imply a population of similar to 2.5 x 10(4) objects deg(-2) with V < 28.6. This must be viewed as a lower limit until our search of parameter space is complete. Our observations imply that there are >2 x 10(8) objects of this size in the Kuiper belt with inclinations < 12 degrees and within similar to 40 AU of the Sun.