Recent results on heavy flavor production from the CDF and D0
experiments at the Tevatron are reported, using up to 1 fb-1 of accumulated
luminosity per experiment.  The first observation of resonant Lambda0(b) pi+
states, consistent with the lowest-lying charged Sigma_b states, is
announced.  Measurements are made of the B hadron relative fragmentation
fractions and production cross sections of the B+ and Upsilon(1S).  An
upper limit for the production cross section of eta_b --> J/Psi J/Psi is also
set.