According to one embodiment, an MRI apparatus includes a data acquisition unit and an image generation unit. The data acquisition unit acquires MR data from an object. The MR data correspond to a sampling region asymmetric in a wave number direction in a k-space. The image generation unit generates amplitude image data, in a real space, based on first k-space data after zero padding to a non-sampling region of the MR data and generates MR image data by data processing of the amplitude image data or convolution processing of the amplitude image data. The data processing converts the amplitude image data into second k-space data, performs filtering of the second k-space data and converts the second k-space data after the filtering into real space data. The convolution processing uses a function in the real space. The function is derived by converting a window function for the filtering.
