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It’s promising to use Software-Defined Networking (SDN) and Network Functions Virtualization (NFV) to integrate satellite and terrestrial networks.To construct network service function chains in such a multi-domain environment,we propose a horizontal-based Multi-domain Service Function Chaining (Md-SFC) orchestration framework.In this framework,multi-domain orchestrators can coordinate with each other to guarantee the end-to-end service quality.Intra-domain orchestrators also coordinate SDN controllers and NFV management components to implement intra-domain service function chains.Based on this,we further propose a heuristic SFC mapping algorithm with a cooperative inter-domain path calculation method to map service function chains to infrastructures.In this method,master multi-domain orchestrator and intra-domain orchestrators coordinate to select proper inter-domain links.We compare the cooperative method with a naive uncooperative way that domains’ topology information is provided to the master multi-domain orchestrator and it calculates the shortest inter-domain path between intra-domain service function chains directly.Simulation results demonstrate that our solution is feasible.It is able to construct end-to-end performance guaranteed service function chain by horizontal-based cooperation.The cooperative inter-domain path calculation method decreases the mapping load for the master orchestrator and gets the same end-to-end performance.