Corrugated box is an important transport packaging container in the global logistics. The research on its raw material, that is, corrugated fibreboard, has always been an important topic in the packaging field. However, the research objects nearly focus on the corrugated fibreboard of traditional corrugated medium. The innovative research on the structure of corrugated fibreboard is also still rare. Since the pandemic COVID-19 in 2020, the international corrugated packaging industry has faced new dilemma. The development of new corrugated boxes and fibreboard is the way to break the situation in innovation and transformation. This study aims to design a new fibreboard with laminated structure medium for obtaining a new type of corrugated fibreboard for packaging with better cushioning and anti-vibration performance than traditional corrugated fibreboard. The verification experiments show that the new fibreboard has better recovery and structural stability due to its unique three-layer structure. The static and dynamic cushioning performance and anti-vibration performance of the proposed fibreboard have been greatly improved compared with those of the traditional one.