In this paper, a comparative study between a blind algorithm, based on higher order cumulants, and adaptive algorithms, i.e. Recursive Least Squares (RLS) and Least Mean Squares (LMS) forMultiCarrier Code DivisionMultiple Access (MC-CDMA) systems equalization is presented. Two practical frequency-selective fading channels, called Broad- band Radio Access Network (BRAN A, BRAN B) normal- ized for MC-CDMA systems are considered. In the part of MC-CDMA equalization, the Zero Forcing (ZF) and the Min- imum Mean Square Error (MMSE) equalizer techniques were used. The simulation results in noisy environment and for different signal to noise ratio (SNR) demonstrate that the blind algorithm gives approximately the same results ob- tained by adaptive algorithms. However, the proposed algo- rithm presents the advantage to estimate the impulse re- sponse of these channels blindly except that the input exci- tation is non-Gaussian, with the low calculation cost, com- pared with the adaptive algorithms exploiting the informa- tion of input and output for the impulse response channel estimation.