Multicarrier direct sequence-code division multiple access (MC DS-CDMA) is a novel radio access scheme that combines time domain spreading and multicarrier modulation. However, MC DS-CDMA systems suffer strongly from the interference among users, which is called as multiple access interference. This interference depends mainly on the correlation properties of the spreading sequences as well as the shape of the chip waveforms employed. In this paper, bit error rate (BER) performance analysis of the generalized MC DS-CDMA system that employs Blackman chip waveform over Nakagami-m fading channels is realized. Simulation results show that the use of Blackman chip waveform can improve the BER performance of the generalized MC DS-CDMA system, as compared to the performances achieved by using different chip waveforms such as rectangular, half-sine and raised cosine.