Leveraging studies on artificial intelligence (AI) stakeholders and success factors, this article sets out to embed an AI perspective in a project management standard and center it around avoiding moral issues—harms, losses, and damages—in AI projects. The study provides an AI Project Framework that identifies the significant differences between AI projects and other information technology (IT) projects, including the AI development lifecycle, risks, issues, and challenges. The study creates a conceptual structure that combines aspects from the International Organization for Standardization (ISO) 21502:2020-12 Project Management standard and the AI project lifecycle. Finally, it weaves a practical framework of interdependencies and success factors for managing AI projects. The study uses an integrative literature review methodology that follows a hermeneutic framework. The study results should offer practical benefits to sponsoring organizations, project sponsors, and project managers in planning and governing AI projects.