The digital transformation of healthcare, marked by Conversational Agents (CAs), promises to enhance patient engagement and self-management. While these technologies have grown in capability, limited research systematically connects their architectural design to foundational principles of user empowerment. This disconnects results in CAs that often function as transactional tools rather than transformative partners, failing to reliably foster the user autonomy, competence, and relatedness necessary for sustained health behaviour change. This research addresses this critical gap by investigating how the technical architecture of Health CAs can be deliberately designed to implement health empowerment. Adopting a Design Science Research (DSR) methodology, this research proposes a novel theoretical framework. The development process involved a comprehensive literature review to establish core Health Empowerment Elements (HEEs) and a systematic taxonomy of CA architectural components. Through iterative design and validation via expert reviews, a mapping between these components and the HEEs was established with a design prototype to create a functional blueprint. The primary artefact of this thesis is the Health CA Empowerment Mapping Framework. This research solution provides designers and developers with a structured model to architect systems where components like the Dynamic User Model and Explanation Engine, with an empowerment-specific components layer, are explicitly engineered to support specific health needs with evaluated prototype design. The framework offers an actionable blueprint for creating HCAs that are not only technically sound but also psychologically grounded. This thesis demonstrates that a purposeful, component-level mapping to empowerment theory is essential for creating HCAs that can effectively and measurably empower users. The study contributes a valuable tool for both research and practice, outlining a clear path for developing digital health interventions that truly support user-centric health empowerment.