This theoretical work presents a conceptual framework for integrating artificial intelligence (AI) tutoring within gifted education programming. Drawing upon established gifted education frameworks, student-centered learning practices, and recent advances in AI technology, the proposed framework leverages AI capabilities across four key dimensions: affect, content, process, and product. The framework addresses persistent challenges in gifted education, including the need for personalized instruction, advanced content delivery, and meaningful mentor relationships. By augmenting traditional gifted programming with AI tutoring, this approach enables more scalable differentiation while supporting student autonomy and engagement. The integration of AI across these dimensions represents a significant advancement in how educators can approach gifted instruction, moving beyond traditional constraints to create dynamic learning environments. Through systematic integration of AI tools across these dimensions, educators can provide more personalized, challenging, and engaging learning experiences that better align with gifted students' accelerated developmental needs in modern educational environments.