A positioning method includes: capturing a satellite signal from a positioning satellite; predicting a state vector including a position of a positioning device and a velocity of the positioning device based on the satellite signal; predicting a first distance-equivalent value indicating a distance between the positioning satellite and the positioning device; measuring a second distance-equivalent value indicating a distance between the positioning satellite and the positioning device; calculating an observed value indicating a difference between the first distance-equivalent value and the second distance-equivalent value; setting a measurement error for the positioning satellite based on a signal strength of the satellite signal; changing the measurement error based on a capture data indicating a data of capturing of the satellite signal; and correcting the state vector using the observed value, and the changed measurement error.