We present the most recent results for the measurement of the top
quark mass at the CDF experiment of the Tevatron collider.  The top mass has
been measured in the dilepton (t anti-t --> l l + jets + missing E(t), l = e or
mu) and lepton plus jets (t anti-t --> l + jets + missing E(t), l = e or mu)
final states.  In the lepton plus jets channel we obtain m_t =
173.5+2.7_-2.6 (stat.) +/- 2.5 (jet energy scale systematic) +/- 1.7
(syst.) GeV/c2, which is the most precise single top mass measurement in
the world.  A preliminary combination of the best measurements per decay
channel from CDF and D0 experiments gives m_t = 172.7 +/- 3.5 GeV/c2.