This book examines the critical aspect of security assurance within Docker containers deployed over cloud computing infrastructures. Focusing on vulnerability assessment, threat modeling, access control, and runtime security monitoring, the research aimed to address the inherent security challenges posed by Docker containers. By proposing innovative approaches and tools for identifying vulnerabilities, modeling threats, implementing access controls, and monitoring container activity in real-time, the thesis contributes to enhancing the security posture of Docker deployments in cloud environments. Overall, the research endeavors to provide practical solutions to ensure the secure and reliable operation of containerized applications in cloud computing settings.