We report on similar to 120 days of observations of Cygnus X-1 with OS
SE onboard the Compton Observatory. Emission is detected in the range
50 keV to 1 MeV, and we find evidence for a continuum of hard X-ray sp
ectra over a broad range of fluxes rather than the existence of distin
ct flux states. Comparisons of the source spectra with various theoret
ical models show that an exponentially truncated power law best descri
bes the average spectrum in the OSSE energy band. Although we have mea
sured a new minimum in the hard X-ray flux from the source, no evidenc
e was found for either a broad 1 MeV feature or a narrow 511 keV line
previously reported in association with a low flux state. Upper limits
on such emission features are an order of magnitude lower than earlie
r reported detections. The 5.6-day periodicity of the source measured
at optical wavelengths was not detected with a sensitivity to the rms
modulation fraction of 5% in the 60-140 keV energy band.