In marine seismic exploration, the sea surface ghost causes frequency notches and low-frequency loss, which affects the signal-to-noise ratio (SNR) and resolution of seismic records. This paper presents a simultaneous receiver-side deghosting and denoising method based on the sparsity constraint. First, considering the influence of propagation direction and sea surface reflection coefficient, the ghost time delay is calculated accurately, and then the accurate ghost operator is constructed in the frequency–slowness domain. Finally, the ghost-free data are obtained using the sparse constraint algorithm that can effectively suppress the ghost along with the noise energy. This method can remove the ghost and noise simultaneously, achieving quick convergence and with few iterations. It is applied to synthetic data and actual streamer field data. Test results prove that the ghost and notches are suppressed effectively, the SNR is improved, and the band is well broadened.