Orthogonal frequency division multiplexing (OFDM) systems are very sensitive to the frequency synchronization errors in form of carrier frequency offset (CFO). CFO can lead to the Inter-Carrier interference (ICI) and also destroys the orthogonality between sub-carriers. Therefore, CFO plays a key role in Frequency synchronization. Basically for getting a good performance of OFDM, the CFO should be estimated and compensated. In this paper we investigate the algorithms for the CFO estimation in OFDM systems. Four types of estimators are investigated: cyclic prefix (CP) and Training Sequence based estimators in time domain in addition to Training Symbol based and pilot tone based estimators in frequency domain. Mean Square Error (MSE) is the comparison criteria used in studying the performance. Simulation results indicate the performance of the different estimators over both additive white Gaussian noise (AWGN) and four taps multipath fading channels.