The position of SN 1987A has been determined relative to ~30 Perth 70 stars using two sets of astrometric plates (epochs 1987.2 and 1973.0) and a secondary reference system comprised of LMC members. Since the mean epoch of the Perth 70 stars is close to that of our 1973 plates, the error in our derived SN position due to uncertainties in the proper motions of the Perth stars is minimized. The SN position is α = 5^h^ 35^m^ 49.970^s^ +/- 0.005^s^, δ = -69^deg^ 17' 57.92" +/- 0.03" (equinox 1950). The positional coincidence of the SN and Star 1 of Sanduleak -69^deg^ 202 is confirmed to within an uncertainty of +/- 0.13" in each coordinate, where the uncertainty is primarily due to the error in the "progenitor" position. The relative brightness of the two major components of Sk -69^deg^ 202 has been determined by fitting the density profiles of the blended images. The magnitude difference between Star 1 (the proposed SN progenitor) and the fainter Star 2 is found to be 1.4 in V and 0.7 in B. These last values differ from previously published measurements, raising the question of the possible variability of Star 2.