The latest top quark mass measurements by the CDF and D0 experiments are presented here. The mass has been determined in the dilepton (tt-bar --> e mu, ee, mu mu + jets + missing E(t)) and lepton plus jets (tt-bar --> e or mu + jets + missing E(t)) final states. The most accurate single result from lepton plus jets channel is 173.5+3.7_-3.6(stat. + Jet Energy Scale Systematic +/- 1.3(syst.) GeV/c2, which is better than the combined CDF and D0 Run I average. A preliminary and unofficial average of the best experimental Run II results gives M_top = 172.7 +/- 3.5 GeV/c2.