Orthogonal Frequency Division Multiplexing (OFDM) is known to be a multicarrier digital communication scheme which helps in addressing problems of interference which are the Inter-carrier Interference (ICI) and Inter-symbol Interference (ISI). OFDM gather large number of low data rate carrier to build a complex high data rate communication system. OFDM is a technique for transmitting data in parallel by the usage of large number of modulated subcarriers and the said subcarriers are separated in frequency after dividing the available bandwidth so that they are orthogonal. OFDM problem is that it is sensitive to frequency offset caused by the relative motion which occurs between the transmitter and the receiver (Doppler shift) which introduces Inter-carrier Interference (loss of orthogonality between sub-carriers) in the OFDM symbol and the use of ICI Self cancellation method will help to reduce the ICI which has been analyzed in this paper and the MATLAB simulation was carried out on the receiver and its transmitter in terms of carrier-to-interference ratio (CIR).