Galloping disasters frequently occur in high-voltage transmission lines. A method for reconstructing the galloping waveforms of overhead lines based on compressed sensing is proposed. Traditional sensor-based galloping monitoring systems need to be deployed in sufficient numbers to ensure the accuracy of the reconstructed waveform. Too many monitoring nodes will increase the load on the transmission line and change its mechanical characteristics. In response to this problem, the mathematical model of line galloping is sparsely changed, a measurement matrix that is convenient for sensor placement is constructed, and an Orthogonal Matching Pursuit (OMP) algorithm is used. The dancing waveform can be reconstructed through a limited number of information sensing nodes in the line. This reduces the interference of too many sensing nodes on the dancing information. A simulation is carried out in the Matlab environment, and the results show that the reconstruction error of the line galloping waveforms of different amplitudes, spans, frequencies, and half-wave numbers can be controlled to below 5%. This work is supported by the National Natural Science Foundation of China (No. 51577086) and the Major Scientific Research Projects of Universities and Colleges in Jiangsu Province (No. 19KJA510012).