1. A magnetic resonance fluoroscopic imaging apparatus, comprising: a static magnetic field generator which generates a static magnetic field; a radio frequency magnetic field generator which generates a radio frequency magnetic field to excite nuclei in a plurality of slices of a subject placed within the static magnetic field; a gradient magnetic field generator which generates a slice direction gradient magnetic field, a phase encoding gradient magnetic field and a frequency encoding gradient magnetic field; a signal detector which detects nuclear magnetic resonance signals emitted from the nuclei; a signal processor which reconstructs images of the plurality of slices from the nuclear magnetic resonance signals; a display which displays the images; and a controller which controls the radio frequency magnetic field generator, the gradient magnetic field generator and the signal processor, the controller performing an imaging process to sequentially image the plurality of slices by exciting the nuclei, by detecting the nuclear magnetic resonance signals and by reconstructing images of the plurality of slices, the controller successively repeating the imaging process to acquire a plurality of successive images of each of the plurality of slices, the controller successively displaying, on the display, sets of the images of the plurality of slices substantially simultaneously acquired.