Recent Tevatron results on b quark production

A number of recent B physics results from the CDF and D0 experiments at the Fermilab Tevatron Collider is reported. Measurements of open b quark production cross section in the central and forward rapidity regions in p{anti p} interactions at {radical}s = 1800 GeV are presented. The measurements are used to evaluate the rapidity dependence of b quark production. We also report recent results on correlated b {anti b} production: a measurement of b {anti b} angular correlations using dimuon triggers (D0) and the first direct measurement of b {anti b} rapidity correlations (CDF). The results from the various measurements are compared with the next-to-leading order QCD predictions. Finally, a measurement by CDF of the polarization of {psi}(2S) mesons is compared with the predictions of the Color Octet Model