We report on measurements of the top quark mass by the CDF
experiment at the Fermilab Tevatron collider.  The top quark is produced
in ppbar collisions at sqrt s = 1.8 TeV.  The analyses use an integrated
luminosity of 110 pb^-1.  Results are presented from three decay channels,
(i) one lepton plus jets, (ii) dilepton, (iii) all hadronic.  The smallest
error on the mass comes from (i), with a preliminary top mass value of 175.6
+/- 4.4 (stat.) +/- 4.8 (syst.) GeV.  Results from the other channels are
consistent with this value.