We review the direct measurements of the top quark mass M-t using the sampl
e of t (t) over bar events collected by the D (O) over bar and CDF experime
nts at Fermilab. Measurements using events in the lepton plus jets, dilepto
n, and all-hadronic t (t) over bar decay modes are reviewed, as is the comb
ination of the results to yield the current world average M-t = 174.3 +/- 3
.2 (stat.) +/- 4.0 (syst.) GeV/c(2). We close by estimating the precision a
ttainable with future data sets at Fermilab and the Large Hadron Collider.