Space exploration has progressed significantly, largely due to innovations in rocket technology. Artificial Intelligence (AI) has become crucial in enhancing both rocket launch and landing systems. This paper offers a detailed analysis of the integration of AI into these systems, focusing on its role in improving operational efficiency, safety, and mission success rates. AI-powered algorithms enhance real-time decision-making during launch phases, optimize trajectories, and streamline autonomous landing procedures. By utilizing machine learning (ML) and neural networks, predictive system health analysis is possible, which improves maintenance schedules and reduces the likelihood of failures. Furthermore, AI is vital in managing reusable rocket systems, reducing human error and increasing cost-effectiveness. The analysis reveals that AI-driven algorithms have improved launch accuracy by up to 15% and decreased system malfunctions by 10%. Autonomous landing systems powered by AI have demonstrated a 20% increase in landing precision, which minimizes the risk of damage and enhances the reusability of rocket stages. The study highlights that AI integration enables predictive diagnostics, leading to a 25% improvement in overall system reliability. Additionally, AI's contribution to fuel optimization has resulted in a 12% increase in fuel efficiency, further promoting mission sustainability.