Measurements of charm and beauty production at the Tevatron have
historically shown hints of disagreement when compared to Next to Leading
Order predictions.  In this review four measurements performed with recent
p anti-p collision data at s**(1/2) = 1.96 TeV by the CDF and D0 collaborations
are presented: inclusive muon production; inclusive beauty (b) quark
production; the production of b anti-b quarks; the production of beauty and
charm quarks in association with a high energy photon.  In all cases
measurements are in agreement with theoretical prediction.