The rapid growth of Cloud Computing (CC) and Internet of Things (IoT) has brought numerous benefits to individuals and organizations, including cost savings, scalability, and flexibility. Nevertheless, the growing use of cloud services has become a source of security challenges too, especially the Intrusion Detection System (IDS). The functions of this review paper are to make sure that the IDS in CC and IoT is talked about in a way that is understood and has its meaning, concerns, and other approaches. The best contribution the paper has made is an extensive discussion of the types of IDS and their techniques, the analysis of the existing IDS solutions available in the cloud environments, and the discussion of the case studies related to the successful implementation of the IDS. Also, this paper sheds light on the future trends and research directions in the area, such as the use of Machine Learning (ML) and Artificial Intelligence (AI), the use of big data analytics, and the implications of cloud computing, IoT, and edge computing. This review can assist future researchers, practitioners, and policymakers and add to the establishment of, ultimately, more secure and resilient IoT and CC infrastructures by synthesizing existing knowledge and defining what gaps still exist in the literature.