The absolute position of the compact radio source at the dynamical center o
f the Galaxy, Sagittarius A*, was known only to an accuracy of 0".2 in spit
e of its accurate location with respect to near-IR stellar sources to withi
n 30 mas. To remedy this poor positional accuracy, we have selected 15 high
-resolution, high-frequency VLA observations of Sgr A* carried out in the l
ast 13 years and determined the weighted average position with the average
epoch 1992.4 to be at alpha, delta (1950) = 17(h)42(m)29.(s)3076 +/- 0.(s)0
007, -28 degrees 59'18".484 +/- 0."014 or alpha, delta (2000) = 17(h)45(m)4
0.(s)0383 +/- 0.(s)0007, -29 degrees 00'28"069 +/- 0".014, which agrees wit
h earlier published values to within the 0".2 error bars of the earlier mea
surements. An accurate absolute position of Sgr A* can be useful for its id
entification with sources at other wavelengths, particularly in soft and ha
rd X-rays, with implications for the models of a massive black hole at the
Galactic center.