This report describes a measurement of the top quark mass in p(p) over bar
collisions at a center of mass energy of 1.8 TeV. The data sample was colle
cted with the CDF detector during the 1992-1995 collider run at the Fermila
b Tevatron, and corresponds to an integrated luminosity of 106 pb(-1). Cand
idate t(t) over bar events in the "lepton+jets" decay channel provide our m
ost precise measurement of the top quark mass. For each event a top quark m
ass is determined by using energy and momentum constraints on the productio
n of the t(t) over bar pair and its subsequent decay. A likelihood fit to t
he distribution of reconstructed masses in the data sample gives a top quar
k mass in the lepton+jets channel of 176.1 +/- 5.1 (stat) +/- 5.3 (syst) Ge
V/c(2). Combining this result with measurements from the "all-hadronic" and
"dilepton" decay topologies yields a top quark mass of 176.1 +/- 6.6 GeV/c
(2).