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This paper presents a new differential encoding scheme for direct sequence code division multiple access (DS-CDMA) systems using space-time block code with space-time transmit diversity (STTD). The proposed generalized differential encoding scheme at the transmitter and the corresponding low complexity differential decoding scheme at the receiver ensure a blind detection. The proposed transmission scheme provides full spatial diversity and requires no channel state information at the receiver. Comparing our STTD scheme (referred to as STTD1) with the classical STTD scheme (referred to as STTD2) of B.M. Hochwald et al. (see IEEE J. on Selected Areas in Communications, vol.19, p.48-60, 2001) and the orthogonal transmit diversity (OTD) schemes, it is shown that STTD1 has better performance than both STTD2 and OTD schemes.