The first part of the seminar is devoted to the superconducting magnets of the Tevatron lattice cell (main dipoles and quadrupoles). The electromagnetic design and the field quality is briefly discussed, with special emphasis on the random components and on the dynamic effects. The Tevatron machine cycle is then presented, and the control of the machine parameters needed for operation is discussed. Finally, the performance in terms of peak and integrated luminosity obtained during Run II is presented, pointing out the solutions adopted to maximize these quantities. A comparison with the LHC magnets and the expected operation is carried out.