Digital Twin (DT) is a technology that creates a digital replica of its physical entity with full information including historical and real-time data and has drawn wide interest for product re-design. However, introducing DTs for new product design is rarely explored. The contributions of this thesis are two-fold. First, a supersystem-DT design framework is proposed, which collects and applies data from the physical (i.e., supersystem) and virtual environments to help establish more accurate design specifications, and drive simulation to test design concepts in the task clarification and conceptual design stages respectively. Second, a novel embodiment design framework is presented with integrated knowledge graph and DTs to solve the problem of losing implicit design knowledge with the increased data complexity. The effectiveness of the proposed frameworks is validated by a case study of designing a camper box for an expedition vehicle.