In a magnetic resonance measurement apparatus such as an NMR measurement apparatus, when a frequency of an observation nucleus falls within a high frequency band, an RF reception signal is converted into an intermediate frequency signal, and is input to an analog-to-digital converter. In this case, under-sampling is executed for the intermediate frequency signal in the analog-to-digital converter, and a second-order aliased signal component generated from a target signal component is observed. On the other hand, when the frequency of the observation nucleus falls within a low frequency band, over-sampling for the RF reception signal is executed.