The present invention provides an MRI apparatus with selective saturation without affection to the integral value of gradient magnetic field in 1TR. The MRI apparatus comprises a signal acquisition device for applying static field, gradient magnetic field pulses and RF pulses to an object to acquire magnetic resonance signals therefrom, an image reconstruction device for reconstructing an image based on the magnetic resonance signals acquired, and a controller device for controlling both device. The controller device directs the signal acquisition device to apply gradient magnetic field pulses and RF pulses for selective saturation for a number of times prior to applying gradient magnetic field pulses and RF pulses for signal acquisition.