B physics results from the CDF Collaboration based on data
collected during the 1992-1996 Tevatron run are presented.  In particular, we
report the discovery of the B_c meson in the semileptonic decay B_c -> J/psi l
nu X, updates of b hadrons lifetime measurements, with a description of the
B_s lifetime measurement, the B^0_d - B-bar^0_d mixing results and the limits
set on rare B decay branching ratios.  Current results are used to extrapolate
B physics prospects for the future high luminosity run II.