Morphing aircraft require wing structures capable of smooth and continuous deformation. Honeycomb structures, which achieve large in-plane deformations through cell wall bending, are lightweight and high-strength, making them ideal as internal supports for flexible skins. This study derives the in-plane mechanical properties of quad-star honeycomb structures using Castigliano's second theorem and summarizes the trends in mechanical performance with respect to geometric parameters. While traditional quad-star honeycomb structures exhibit excellent in-plane deformation capability, their out-of-plane load-bearing capacity is limited. To enhance out-of-plane stiffness, this paper proposes a novel quad-star honeycomb with transverse reinforcement. The mechanical properties of the hon-eycomb structure are investigated through finite element calculations, with a comparative analysis of the in-plane deformation capability and out-of-plane load-bearing capacity between traditional and quad-star honeycomb with transverse reinforcement. The improved structure retains zero Poisson's ratio characteristics and significant in-plane deformation capability while effectively increasing out-of-plane bending stiffness, resulting in superior out-of-plane load-bearing performance.