A data demodulator for a multicode Code Division Multiple Access (CDMA) system is provided. The system transmits data by allocating multiple codes to each user. In the data modulator, a code generating part generates a local code for despreading input channel signals and local orthogonal codes for orthogonally despreading the despread channel signals. A time error estimator generates time error information for the despread channel signals and outputs the time error information to the code generating part. A symbol processing part includes N symbol processing units, where N is the number of codes allocated to each user. The N symbol processing units demodulate symbols despread by the local orthogonal codes into original symbols. A symbol deskewer classifies the demodulated symbols by the respective codes and writes the classified symbols in sequence into a two-dimensional memory.