A magnetic resonance imaging apparatus includes a data acquisition unit, a correction unit, a sorting unit and an image reconstruction unit. The data acquisition unit acquires data for imaging and projection data. The correction unit performs motion correction of the data using respiratory motion data obtained based on the projection data. The sorting unit sorts the data after motion correction into a cardiac time phase order based on electrocardiographic information. The image reconstruction unit reconstructs three-dimensional image data based on the sorted data after motion correction.