A method and apparatus for transmitting an orthogonal frequency division multiplexing (OFDM) signal including converting a distribution of a signal in which inverse Fourier transform is performed in an OFDM system and a method of receiving an OFDM signal including expanding a received signal are provided, and by changing a magnitude distribution of a signal that is output from an OFDM modulator to a bimodal Gaussian distribution, an influence of noise in a receiving terminal can be reduced, and by limiting a signal that is output from an OFDM modulator to an appropriate magnitude, a phase in the receiving terminal can be prevented being wrongly demodulated.