According to one embodiment, a magnetic resonance imaging apparatus includes processing circuitry. The processing circuitry is configured to apply a filter to each of a first real-part image and a first imaginary-part image of a first complex image generated based on acquired magnetic resonance data and thereby generate a second complex image that includes a second real-part image and a second imaginary-part image. The processing circuitry is configured to generate a phase image denoised by the filter, the denoised phase image generated based on the second real-part image and the second imaginary-part image. The processing circuitry is configured to generate an intensity image related to an absolute value of the first complex image based on pixel values of the denoised phase image, the first real-part image, and the first imaginary-part image.