In the context of Industry 4.0, Digital Twin is representative of real-world system in the digital world, which relies on physical system data for optimization, manipulation, discovery and interaction with actual system. This paper presents the process of developing and implementing the Digital Twin architecture applied on a modular production system (MPS). The proposed architecture is based on the current Digital Twin framework for manufacturing normalized by ISO 23247. The Digital Twin architecture shows an approach between web services, databases, and key observable production elements to create a bi-directional connection and multi-services Digital Twin system. This approach has been validated on real systems and can be applied to other machines and manufacturing processes.