A satellite communication system, as a typical example of the Internet of things, is a smart critical infrastructure and has become an essential component used in various services such as finances, communications, ground and air-borne navigation, utilities, power grid distribution, emergency services, agriculture, banking, and many other critical industries. In recent times, satellite communication systems have become a target for cyber-attack. In this chapter, we review satellite infrastructure and the existing cybersecurity frameworks applied in smart critical infrastructure. We identified three main cybersecurity properties for satellite smart critical infrastructure, which are real-time analysis, mitigation mechanism, and low computational overhead. These properties are mapped against existing cybersecurity frameworks applied in smart critical infrastructure. The result indicated that the existing cybersecurity frameworks are either inapplicable, incompatible, or inadequate to address the cyber-attacks in satellite smart critical infrastructure. In addition, we identify a combination of mechanisms such as runtime verification and digital twin technology to address the satellite smart critical infrastructure cybersecurity. Finally, we discuss a review of the mechanisms and their applications along with our future work.