We perform measurements of the photoluminescence (PL) and the time-resolved PL on type-II CdSe/ZnTe core/shell quantum dots (QDs). First of all, we compare the dependence of PL and time-resolved PL on temperature and find that exciton would redistribute into larger dots at low temperature, with the recombination dominated by the radiative part. As increasing the temperature, the nonradiative part becomes dominant and the main mechanism arises from the ionization of exciton and the interaction between exciton and LO-phonon. Additionally, we observe that the radiative recombination time varies linearly with the linewidth of PL. In the measurement of excitation power dependent time-resolved PL, it is found that the radiative recombination time decreases with increasing power and may be attributed to the band bending effect due to the spatially photoexcited carriers in a type-II band alignment. In the last section, detected photon energy dependent time-resolved PL reveals that the radiative recombination time is proportional to cube of the size of QDs and this relationship may arise from the quantum confinement effect.