In this paper, we propose a pilot aided carrier frequency offset (CFO) estimation schemes for the Faster-than Nyquist (FTN) transmission system. The FTN transmission would increase the data rate by overlapping the pulse closer than the Nyquist rate. For this reason, there have been some efforts to apply FTN theory to second generation of digital video broadcasting satellite (DVB-S2) standard. However, the FTN produce inter symbol interference (ISI), which would deteriorate the receive performance even in an additive white Gaussian noise (AWGN) channel. In addition, CFO that exist due to transmitter and receiver oscillator mismatch is a major concern in communication system. In this paper, we present the maximum likelihood (ML) CFO estimator for the FTN transmission system. The mean square error (MSE) performance of the CFO estimator utilizing DVB-S2 pilot block sequences is also presented. Through the Monte Calro simulation, the BER performance degradation due to CFO error is investigated both uncoded and coded FTN system.