Properties of b {anti b} Production at the Tevatron

The authors present a number of recent results obtained at the Fermilab Tevatron for b{bar b} production in p{bar p} interactions. The preliminary CDF and D0 measurements of the inclusive b-quark production cross section at {radical}s = 630 GeV are compared with the UA1 results and the next-to-leading order QCD predictions. These results are used to compute the ratio of the cross sections at 630 GeV to 1800 GeV. The CDF results on the B meson differential cross section and {Lambda}{sub b}{sup 0} baryon production and decay properties at {radical}s = 1800 GeV are also presented.