With the growing interest in quantum computing, the emergence of quantum supremacy has marked a pivotal milestone in the field. As a result, numerous quantum programming languages (QPLs) have been introduced to support the development of quantum algorithms. However, the application of Model-Driven Development (MDD) in quantum system engineering remains largely underexplored. This paper presents an MDD-based approach to support the structured design and implementation of quantum systems. Our framework enables the automatic generation of quantum code for multiple QPLs, thereby enhancing development efficiency and consistency across heterogeneous quantum platforms. The effectiveness and practicality of our approach have been demonstrated through multiple case studies.