In a biological signal measurement system of this invention, biological digital data is generated from a biological signal measured by a biological signal measurement apparatus, and first feature amount data extracted from the biological digital data and downsized biological digital data are transmitted to a portable terminal. In a biological information measurement apparatus of this invention, biological feature amount data is extracted from measured biological waveform data, and at least one of the biological waveform data and the biological feature amount data is transmitted to an external device. It is possible to provide a biological signal measurement system capable of continuously measuring a biological signal for a long time without disturbing daily life and provide a biological information measurement apparatus capable of implementing downsizing and long life of a battery.