Abstract: Magnetic multiferroics belong to an important branch of the big multiferroics family. Because the ferroelectric polarizations are directly induced by particular magnetic orders,magnetic multiferroics exhibit strong intrinsic magnetoelectric coupling. Current research on magnetic multiferroics is mostly focused on their fundamental physics. Benefitting from the progress of research on physical mechanisms, more and more new magnetic multiferroic materials have been designed, predicted, and discovered, with continual improvement in their magnetoelectric performance.We review briefly the physical mechanisms involved in magnetic multiferroics, as well as the efforts in recent years to search for and design new magnetic multiferroics.