A temperature measuring system includes a laser light source to emit optical pulses, an optical fiber, arranged to pass through a plurality of measuring points, and input with the optical pulses, and a measuring device to detect back-scattering light output from the optical fiber and measure a temperature at the plurality of measuring points, to acquire measured temperature data. The measuring device computes corrected temperature data by varying a degree of smoothing the measured temperature data in a distance direction of the optical fiber, according to a correlation between the measured temperature data and a transfer function peculiar to the temperature measuring system.