Magnetic field and acoustic field coupled imaging methods mainly include magnetoacoustic tomography, magneto-acousto-electrical tomography, and thermoacoustic tomography, all of which non-invasively achieve the electrical conductivity imaging of tissues with a resolution of up to the millimeter scale. The principles of these three imaging methods and the research progress in the last two decades are reviewed. First, the principles of the three magnetic and acoustic field coupled methods are individually introduced. The progress in medical electromagnetic imaging is further elaborated, and finally the future directions and summary of the coupled imaging methods are summarized.