Magnetized Liner Inertial Fusion (MagLIF) is a new concept of controlled fusion, which combines both advantages of traditional magnetic confinement fusion (MCF) and inertial confinement fusion (ICF). It has promising application potentials because theoretically it can dramatically lower the difficulties in realizing controlled fusion. For purpose of better understandings of MagLIF, we investigate and summarize the main progresses achieved in this field. This paper will acquaint researchers with MagLIF research progress in the following domains: theoretical and analytic research, numerical simulations, experimental configurations, measurements and diagnostics, load designs and fabrications, laser driving MagLIF and auto-magnetization target. It will also provide heuristic perspectives for future MagLIF research.