The problem of determining a fundamental tone frequency of a speech signal in the presence of white Gaussian noise is examined. A method for measuring this frequency is proposed which takes into account the periodic structure of the power spectrum of voiced speech frames and is based on the principle of harmonic energy accumulation in the frequency domain. For this purpose a procedure for equalizing the envelope of the power spectrum is introduced in the algorithm for processing a speech signal using a two-level autoregression model of the observations: within the limits of a single period of the fundamental tone and within an interval of several of these periods. Here adaptation of the order of the autoregression of the lower level to the observed frame is planned. An example of the practical realization of the adaptive method based on the Berg method is examined. The basic advantages of the adaptive method compared to the known analogs are high speed and enhanced noise stability, which are confirmed in a full-scale experiment. A gain in threshold signals of 5-10 dB was obtained through use of the adaptive method.