During the run period (1992--1995) CDF experiment has collected 110 {pb}^-1 of  p\overline {p} collisions at 1.8 TeV center of mass energy. The highlights of the CDF B physics results are described, among them the most important are the measurement of B hadron masses, lifetimes and mixing as well as the observation of the B_c meson and the measurement of the CP violation parameter \sin 2\beta . Run IIa will give a unique opportunity of extended B physics studies due to the high luminosity of 2 fb^-1 of p\overline {p} collisions and the major upgrades of both Tevatron experiments, CDF and D0. The perspectives for the B measurements, specially the studies of heavier B hadrons are described, together with the Run I highlights.

PACS numbers: 14.20.Mv, 14.40.Nd