A pulse measuring apparatus comprises a pulse sensor unit having a pulse sensor, a pulse measuring instrument having a display section for displaying a pulse number, and an arm wearing band fixed to the pulse measuring instrument and to which the pulse sensor unit is attached so as to be capable of adjusting its position in a longitudinal direction. A radio transmission section is disposed in the pulse sensor unit and a radio reception section is disposed in the measuring instrument, whereby data can be radio-transmitted from the pulse sensor unit to the measuring instrument. The data to be radio-transmitted is a pulse detection signal of the pulse sensor of the pulse sensor unit, or a pulse number obtained by calculation-processing the pulse detection signal by a signal processing section of the pulse sensor unit.