The present invention relates to a spectral measurement apparatus and measurement method utilizing Brillouin scattering, which judge the state of the temperature or strain of an optical fiber more quickly. The spectral measurement apparatus comprises a light source, an analysis section, and an anomaly judgment section. The light source outputs pumping light and probe light. The pumping light and probe light thus output are caused to enter in opposite directions to the sensing fiber. The analysis section analyzes the gain received by the probe light as a result of the Brillouin scattering. The anomaly judgment section judges the state relating to the temperature or strain of the sensing fiber on the basis of the analysis result of the analysis section. The frequency difference ν between the pumping light and probe light is set within a predetermined frequency difference setting range. The frequency difference setting range is a range which includes the frequency difference at which the peak value of the reference gain spectrum of the gain received by the probe light is obtained when the temperature or strain of the sensing fiber is in the reference state and is set at or below the line width of the reference gain spectrum