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Blind adaptive step-size constant modulus algorithm (CMA) for multiuser detection over multi-carrier code division multiple access (MC-CDMA) systems is presented. In wireless communications system, the conventional CMA for blind multiuser detection has some disadvantages such as slow convergence speed and phase rotation. In order to overcome these shortages, a modified constant modulus algorithm was developed for blind multiuser detector. In this paper, we put forward a novel receiver, which combines CMA blind adaptive multiuser detection with Electromagnetism-like method (EM) for MC-CDMA interference suppression over multipath fading channel. To work around potentially computational intractability, the proposed scheme exploits heuristics in consideration of both global and local exploration the step size of the CMA. The computer simulation results show that compared with the various CMA developed previously, the proposed EM method obtains the most desirable bit error rate performance with low computational complexity.