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Multicarrier code-division multiple-access (MC-CDMA) is a potentially attractive multiple access technique for future wireless communication systems. In this paper space-frequency minimum mean squared error based parallel interference cancellation receiver (SF-MMSE/PIC) is developed for MC-CDMA systems which produces the SF-MMSE combining as a byproduct. The signal processing of this new detector is jointly carried out in space and frequency domain which leads to the advantage of combating the interference from different sources simultaneously. Several representative simulation examples of the proposed SF-MMSE/PIC receiver are provided to demonstrate its powerful capability to suppress interference. In the fully loaded system, the proposed receiver can offer single user performance.