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 collected with the CDF detector during the 1992-1995 collider run at the Fermilab Tevatron, and corresponds to an integrated luminosity of 106 pb(-1). Candidate t(t) over bar events in the "lepton+jets" decay channel provide our most precise measurement of the top quark mass. For each event a top quark mass is determined by using energy and momentum constraints on the production of the t(t) over bar pair and its subsequent decay. A likelihood fit to the distribution of reconstructed masses in the data sample gives a top quark mass in the lepton+jets channel of 176.1 +/- 5.1 (stat) +/- 5.3 (syst) GeV/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). RI Lancaster, Mark/C-1693-2008; Vucinic, Dejan/C-2406-2008; Nomerotski, Andrei/A-5169-2010; Prokoshin, Fedor/E-2795-2012; Chiarelli, Giorgio/E-8953-2012; Azzi, Patrizia/H-5404-2012