The invention relates to a method of estimating the speed (v) of a mobile station connected by a radio transmission channel to a remote station, said method including the following successive steps: receiving and filtering a transmission signal (s) to obtain a measuring signal reflecting time variations of said transmission channel, determining a correlation function (R(.tau.)) of said measuring signal parametered by the mobile station speed (v), seeking the value (R''(0)) of the second derivation of said correlation function at the origin, estimating the first derivative (.alpha..sub.0) of the measuring signal and calculating the variance (C) of the estimate, and identifying the results obtained during the preceding two steps (R''(0)=C).