A careful assessment of current uncertainties in stellar physics (opac
ities, nuclear reaction rates, equation of state effects, diffusion, r
otation, and mass loss), in the chemistry of globular cluster (GC) sta
rs, and in the cluster distance scale, suggests that the most metal-po
or (presumably the oldest) of the Galaxy's GCs have ages near 15 Gyr.
Ages below 12 Gyr or above 20 Gyr appear to be highly unlikely. If the
se approximate to 2 sigma limits are increased by similar to 1 Gyr to
account for the formation time of the globulars, and if standard Fried
mann cosmologies with the cosmological constant set to zero are assume
d, then the GC constraint on the present age of the Universe (t(0) gre
ater than or equal to 13 Gyr) implies that the Hubble constant H-0 les
s than or equal to 51 km s(-1) Mpc(-1) if the density parameter Omega
= 1 or less than or equal to 62 km s(-1) Mpc(-1) if Omega = 0.3.