Response times (RTs) facilitate the quantification of underlying cognitive processes in problem-solving behavior. To provide more comprehensive diagnostic feedback on strategy selection and attribute profiles with multistrategy cognitive diagnosis model (CDM) and utilize additional information for item RTs, this study develops a multistrategy cognitive diagnosis modeling framework combined with RTs. The proposed model integrates individual response accuracy and RT into a unified framework to define strategy selection and make it closer to the individual's strategy selection process. Simulation studies demonstrated that the proposed model had reasonable parameter recovery and attribute classification accuracy and outperformed the existing multistrategy CDMs and single-strategy CDMs in terms of performance. Empirical results further illustrated the practical application and the advantages of the proposed model.