The hydrogen coma of Comet Halley has been observed in resonantly scattered solar Lyman-&agr; radiation during the period 1--29 January 1986 as the comet approached perihelion. These observations were obtained with the imaging photometer for vacuum-ultraviolet wavelengths on the spacecraft Dyamics Explorer 1. For the initial analysis of observations available in 17 orbits distributed throughout the period, least-squares fits are computed for the observed exponential decrease in brightness with radial distance from the nucleus. Brightness at the nucleus increased from ~3 to 17 kR during the observing period. Preliminary analysis yields water production rates of ~3.6¿1029 and 1.9¿1030 molecules/sec on 1 and 29 January, respectively.