An MRI apparatus includes an application unit that applies a readout gradient magnetic field in which magnetic field strength thereof varies with time and RF pulses to a subject placed in a static magnetic field in accordance with a predetermined pulse sequence; a receiving unit that receives an MR signal obtained from the subject to which the readout gradient magnetic field and the RF pulses are applied; an AD converter that converts the received MR signal from analog to digital, and samples discrete MR-signal values; a filtering control unit that performs filtering processing on the sampled discrete MR-signal values, including a filter-coefficient setting unit that sets a plurality of filter coefficients to be used for the filtering processing with respect to each point of sampling time at which the filtering processing is to be performed, based on time-shift amounts corresponding to variations in an MR-signal frequency arising from temporal variations in the magnetic field strength, and a product-sum operating unit that performs the filtering processing on the MR-signal values by performing a product-sum operation between the filter coefficients and the MR-signal values; and an image-data creating unit that creates image data based on the MR-signal values on which the filtering processing is performed.