This review summarizes the most important results in B physics obtained at the Tevatron. They include the discovery of the new B hadrons, the measurement of their masses and lifetimes, the measurement of the oscillation frequency of B 0 s meson, the search for its rare decay B 0 s → µ + µ − , and the study of the CP asymmetry in decays and mixing of B mesons.The CDF and DØ experiments are the general purpose collider detectors constructed to maximally exploit the possibilities provided by the pp collisions at √ s = 1.96 TeV and to operate at the instantaneous luminosity up to 5 × 10 32 cm −2 s −1 . Although the main emphasis in their design is made on the detection of events with the highest possible invariant mass, they also contain the specific elements necessary to endeavour the B-physics research.The tracking system of the CDF detector[1] includes the solenoidal magnet producing a uniform magnetic field of 1.4 T, the inner tracking volume containing the silicon microstrip detectors up to a radius of 28 cm from the beamline[2], and the outer tracking volume instrumented with an open-cell drift chamber [3] (COT) up to the radius of 137 cm. The first single-sided layer of the silicon detector[4] is mounted directly on the beam-pipe at the radius of 1.5 cm. The tracking systems reconstructs the trajectory and momentum of the charged particles up to the pseudorapidity 2 |η| < 2. The resolution of the track impact parameter 3 is about 40 µm. This resolution includes an uncertainty of the interaction point in the transverse plane, which is about 30 µm. The momentum resolution of the tracking system is σ(p T )/p 2 T ≃ 1.7 × 10 −3 GeV −1 , where p T is the component of the particle momentum transversal to the beam direction.The muon identification system[5, 6] is located after the magnet and the calorimeters, which serve as a shield to suppress the penetration of all charged and neutral particles except the muons. It includes the drift chambers, which detect muons with p T > 1.4 GeV within |η| < 0.6, and additional chambers and scintillators, which cover 0.6 < |η| < 1.0 for muons with p T > 2.0 GeV.An important component of the CDF detector essential for the B-physics measurements is the special trigger selecting events with displaced tracks. It is a three-level system. At the first level[7] the COT hits are grouped into tracks in the transverse plane. At the second level[8], the silicon hits are added to the tracks found at the first level. These hits improve the resolution of the track impact parameter, which is measured in real time. Finally, the displaced vertex trigger[9] requires two charged particles with p T > 2 GeV, and with impact parameters in the range 0.12 − 1 mm. This trigger configuration is the basis for many CDF measurements with fully hadronic B decays. Its other trigger configurations select the events with one or two muons. The central tracking system of the DØ detector[10] comprises a silicon microstrip tracker and a central fiber tracker, both located within a 1.9 T superconducting solenoidal mag...