  The CLEO Collaboration has extracted improved values of |V_cb| and |V_ub|
from measurements of exclusive and inclusive decays of B mesons. The
measurement of B -> D* ell nu at zero recoil combined with the predicted form
factor F_D*(w_min) yields |V_cb|. The photon energy spectrum in b -> s gamma
and the hadronic recoil mass spectrum in B -> X_c ell nu determine
non-perturbative HQET parameters used with inclusive b -> c and b -> u rates to
obtain |V_cb| and |V_ub|.
