The paper proposed a detail survey of the estimation of carrier frequency offset (CFO) for orthogonal frequency division multiplexing (OFDM) systems in past ten years. The paper reviews a lot of estimation techniques as well as compares different types of blind estimation techniques based on carrier frequency offset estimation performance, cost constraint as well as on requirements. In CFO estimation using Blind Maximum likelihood estimation (MLE) scheme is always able to decode with probability close to one. In the maximum likelihood technique, numerical iteration for blind estimation of carrier frequency offset gives low complex. It has fast convergence and achieves high accurate estimation. Index Term-Orthogonal frequency division multiplexing (OFDM); Carrier Frequency Offset (CFO); Mean square error (MSE); Signal to noise ratios (SNRs); Blind Maximum likelihood estimator (MLE).