With high computational application, embedded systems are becoming more complex. To achieve high performance in the midst of increased complexity, dual-core SoC (System-on-Chip) is used. Of many Dual-core architectures, a general purpose CPU and DSP are most widely used. But only a few scheduling policies for this heterogeneous architectures exist to guarantee real-time character. This paper discusses scheduling policy for heterogeneous dual-core architectures. We explore the problem of previous scheduling policy [9] based on DPCP (Distributed Priority Ceiling Protocol) [4, 5, 6] and provide a solution of strict schedulability bound model.