This paper is concerned with radio resource management in multiple-chip-rate (MCR) DS/CDMA systems accommodating multiclass services with different information rates and quality requirements. Considering both power spectral density (PSD) over a radio frequency (RF) and the effect of RF input filtering on the receiver in MCR-DS/CDMA systems, criteria for call admission are presented and system performance is derived, System performance in MCR-DS/CDMA systems is strongly affected by radio resource management. A minimum total-power-increment-based resource management scheme for an efficient resource management scheme is proposed herein. The performance of this scheme is compared with that of a random-based resource management scheme in terms of new call blocking probability, handoff call dropping probability, and normalized throughput. In addition, in order to reduce handoff call dropping rate, reallocating subsystems assigned for communicating calls is proposed. The minimum total-power-increment-based resource management scheme yields better performance than the random-based resource management scheme for multiclass services.