More than 400 K+ --> pi(+) mu(+) mu(-) events were observed in a rare K+ de
cay experiment at the Brookhaven Alternating Gradient Synchrotron. Normaliz
ed to the K+ --> pi(+) pi(+) pi(-) decay, the branching ratio is determined
to be [9.22 +/- 0.60(stat) +/- 0.49(syst)] X 10(-8). This branching ratio
and the mu mu mass spectrum is in very good agreement with the measurement
of the K+ --> pi(+) e(+) e(-) decay, but deviates significantly from the pr
evious measurement.