Recent results on B(d), B+/-_u, B_s, Lambda_b and Charm hadrons
are reported from \approx 75 pb-1 and \approx 40 pb-1 of data accumulated
at the upgraded CDF and D0 experiments at the Fermilab Tevatron pbar - p
collider, during Run-II. These include lifetime and mass measurements of B
and Charm hadrons, searches for rare decays in charm and B hadrons and
CP-violation in Charm decays. Results relevant to CP-violation in B-decays
are also reported.