The objective of this work is to design a passive thermal switch with Kirigami‐inspired architected materials composed of bilayer hinges and to analyze thermomechanical and thermal performance at the ON/OFF states based on a composition of materials and geometry of metamaterials. Analytical models are constructed to determine the thermal deformation and heat transport of the metamaterial, followed by finite element‐based simulations. A two‐step design approach − i) selection of multi‐materials and ii) geometric modification of mesostructures provides a robust method for the design of a passive thermal switch with Kirigami‐inspired metamaterials. The mesostructures designed have potential as a passive thermal switch enabling to engineer a large thermal deformation, a small thermal resistance, and a sizable thermal switch ratio. With a systematic approach, this work demonstrates that Kirigami structures with multi‐materials can be potentially used for a tool of thermal transport.