A method for compressive sampling and reconstruction of power signal based on compressed sensing theory is proposed to solve the problem of acquisition and compression of the electrical signal, and thus avoiding the redundancy sampling. First, the implementation steps and the characteristic of the compressed sensing reconstruction algorithm such as IRLS, OMP, SP and SAMP are analyzed. Second, one-dimensional sparse signal and the electrical signal containing harmonics and interharmonics components, which is sparse under the fourier transform are reconstructed under the four algorithm. The simulation results show that the greedy algorithm is more suitable for the electrical signal reconstruction due to its fast speed and low computational complexity. Compared with other greedy algorithms, the SAMP algorithm can reconstruct the original electrical signal with fewer sampling in the situation of unknown sparsity.