We describe the ASCA observation of the black hole candidate Cyg X-l i
n the soft state of 1996 May and report the mass estimation of the cen
tral object from X-ray spectral analysis. The energy spectrum in 0.7-1
0 keV can be described by the sum of a power law (Gamma = 2.3 +/- 0.1)
and an ultrasoft component; the latter is most probably the emission
from an optically thick accretion disk. Through the spectral analysis
of the ultrasoft component, we estimated the size of the accretion dis
k, which is closely related to the Schwarzschild radius and, hence, to
the mass of the central object. Taking the general relativistic effec
ts into account, the most probable mass of the compact object is estim
ated as 12(-1)(+3) M.. This value is independent of, yet consistent wi
th, the mass estimate based on the orbital kinematics information.