A method for detection of pipeline vibrations with a measuring instrument connected to a pipeline system through which a medium to be measured flows, the measuring instrument having at least one transducer for detection of an input variable and for output of an output variable and at least one evaluation unit. The method involves detecting the input variable, relaying of an output variable based on the input variable to the evaluation unit, determinating the measured value of the measured variable from the output variable. Monitoring of the operating state of a system is achieved in that the measured variable characterizes the medium located within the pipeline system, that the sampling rate for detection of the input variable is at least twice as high as the frequency of the pipeline vibration and a frequency analysis of the brief fluctuations of the measured variable is conducted.