 Magnetic inertial fusion, MIF, is a concept of magnetically driven inertial fusion that involves the magnetization of fuel, laser pre-heating, and magnetic implosion to create fusion conditions. Theoretical and experimental studies have been conducted to analyze the current state of work on the implosion of magnetized targets and the effect of an external magnetic field on the main plasma parameters and system characteristics. Numerical simulations of experiments on the magnetic inertial confinement of plasma are also discussed. Two promising areas of MIF, with plasma jets and with a laser driver, laser beams, are highlighted. This article was authored by Sergei V. Rizkov.