A method for measuring fill level and a measuring device for performing the method, wherein, in measuring cycles following one after the other, signal pulses of predetermined frequency sent by means of a transmitting and receiving system with a predetermined repetition frequency into a container, and their signal components reflected back in the container in the direction of the transmitting and receiving system after a travel time dependent on their traveled path, are received as received signal. A fill level is measured taking into consideration a phase relationship between the transmitted and received signals related physically with the fill level to be measured. In each measuring cycle, based on the received signal, an auxiliary signal is derived reflecting amplitude and phase information in the received signal as a function of travel time, based on the auxiliary signal, a travel time of a signal fraction reflected on a surface of the substance is determined as fundamental travel time are determined, based on the travel times of the zero crossings of the auxiliary signals determined in the current and in a plurality of preceding measuring cycles, a phase appearance-frequency distribution is derived as a function of travel time, which gives appearance-frequencies, with which zero crossings were present on the respective travel times in the associated auxiliary signals, a travel time of a maximum of the frequency distribution lying nearest the fundamental travel time is determined as fill level travel time, and the fill level is determined based on the fill level travel time.