We report on the first determination of the distance to the Coma Clust
er from surface brightness fluctuation (SBF) measurements obtained fro
m Hobble Space Telescope WFPC2 observations of the bright E0 galaxy NG
C 4881 in the Coma Cluster and ground-based observations of the ''stan
dard'' E1 galaxy NGC 3379 in the Leo-I group. Relative distances based
on the I-band fluctuation magnitude, (m) over bar(I), are strongly de
pendent on the metallicity and age of the stellar population. However,
the radial changes in the stellar populations of the two giant ellipt
icals NGC 3379 and NGC 4881 are well described by published Mg-2 gradi
ents, and the ground-based measurements of (m) over bar(I) at several
radial points in NGC 3379 are used to calibrate (m) over bar(I) in ter
ms of the Mg-2 index. The distance to NGC 3379, assumed to be identica
l to the average SBF distance of the Leo-I group, is combined with the
new SBF measurements of NGC 4881 to obtain a Coma Cluster distance of
102 +/- 14 Mpc. Combining this distance with the cosmic recession vel
ocity of the Coma Cluster (7186 +/- 428 km s(-1)), we find the Hubble
constant to be H-0 = 71 +/- 11 km s(-1) Mpc(-1).