In this paper we propose a new frequency synchronization scheme for OFDM (Orthogonal Frequency Division Multiplexing) demodulation. The synchronization scheme permits simultaneous frequency error estimate of a carrier frequency and sampling frequency error in a single estimator. The frequency error estimation is based on correlation vectors of OFDM signals and the portion of its replica placed on guard interval. The carrier frequency and sampling frequency errors are determined by an arithmetic process using the phase of each correlation vectors, which are output signals of correlators each operating in positive frequency and negative frequency respectively.