We report the solar neutrino results from the complete set of runs in
the exposure period, GALLEX II, from 19 August 1992 - 23 June 1994. Co
unting for these runs was completed on 10 December 1994. The GALLEX II
result (24 runs) is [75.2+/-9.7 (stat)(-4.6)(+4.1) (syst)] SNU (1 sig
ma). After three years of recording the solar neutrino flux with the G
ALLEX detector, the combined result from the 39 completed solar runs (
GALLEX I+II) is [77.1+/-8.5 (stat)(-5.4)(+4.4) (syst)] SNU (1 sigma) o
r 77.1(-10.1)(+9.6) SNU with errors combined in quadrature. The combin
ed error (+/-13%) has now approached a level where the limits on the d
erived contribution of Be-7 neutrinos to the GALLEX signal confront th
e predictions of solar models.