The Tevatron collider at Fermilab provides a rich environment for B spectroscopy. Recently the first direct observation of the B+(c) meson has reduced its mass uncertainty by two orders of magnitude. A search for eta_B mesons provides the best limit on its production in p anti-p colliders. In studies on orbitally excited B_s mesons for the first time the narrow states could be separated from each other. The orbitally excited B_s mesons have been observed for the first time. With the charged Sigma(*)_b a second B baryon could be established beside the Lambda_b.