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A simple algorithm (SAL) and a modified SAL (MSAL) for the estimation of the phase difference between two sine-wave signals are proposed. The results obtained by SAL and MSAL in simulations and on real samples are given. A comparison between the phase difference results estimated by MSAL, quadrature delay estimator (QDE), unbiased QDE (UQDE), three-parameter sine-fitting algorithm (3PSF), four-parameter sine-fitting algorithm (4PSF), and seven-parameter sine-fitting algorithm (7PSF) is presented. The requirements for the application of SAL and MSAL are analyzed.