To make service matchmaking more adaptive to various service requests and diverse web services, an adaptive approach-ASMA is proposed to service matchmaking based on temporal logic model-checking. The approach is based on the proposed abstract service model, ASM-TL, which addresses some important constraints for identifying capabilities of web services, such as service inner constraints and invocation constraints, and also has a virtual process model for describing service behavioral properties. By treating service requests as temporal logic conditions and web services as temporal models, ASMA does service matchmaking through model checking. Therefore, ASMA makes service matchmaking more accurate and more adaptive to the variety of service requests and the diversity of web services. The approach has been applied to the problem solving environment (PSE) for bioinformatics research. Applications show that the approach is suitable for dynamic environments.