Upgraded Tevatron Run-II luminosity has opened a new chapter in modern heavy-quark studies - a top physics: a dozen level of a Tevatron Run-I top-events statistics now is being replaced by hundreds of events. A review is made of a mass measurement of the top quark produced at = 1.96 TeV in p collisions at the Collider Detector at Fermilab (CDF) with the integrated luminosity samples up to 359 pb^-1. Review covers the M(top) measurement using mainly the so-called template methods both in "lepton + jets" and "dilepton" channels of top-quark decay. The CDF top-quark mass obtained in lepton + jets mode is currently the world most precise single measurement of this important physics parameter. Work summarizes the essential results of the CDF top-quark mass measurement achieved and published for the recent 2003-2005 period.

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