We present a new measurement of the top quark mass in t (t) over bar events
in which both W bosons from top quarks decay into leptons (ev, mu v). We u
se events collected by the CDF experiment from p (p) over bar collisions at
root s = 1.8 TeV at the Tevatron collider. We measure a toy quark mass of
167.4 +/- 10.3(stat) +/- 4.8(syst) GeV/c(2) from a sample of eight events.
We combine this result with previous CDF measurements in other decay channe
ls to obtain a final mass value of 176.0 +/-. 6.5 GeV/c(2).