In this paper, we propose an approach to integrate a hybrid garbage collection algorithm (a combination of reference counting and mark-and-sweep techniques) into the current response time analysis framework for real-time systems. Instead of collecting garbage incrementally, we put most GC work into a periodic real-time thread, namely the GC thread, which is scheduled according to the dual priority scheduling method. More importantly, we can perform schedulability analysis (response time analysis) for all the real-time threads including the GC thread.