Nonasil (NON-type framework) zeolite, having inner large cages but only 6-ring (R) apertures, is recognized as a nonporous material without practical application values as catalysts or adsorbents. A novel bottom-up structural construction strategy assisted with well-designed Gemini-type surfactant is proposed to "open" the non cages, constructing two novel NON-related structures with accessible and stable acid sites. The obtained derivant (named as ECNU-27) possessed hierarchical porosity with short-range ordered 8-R micropores and abundant intercrystal mesopores, serving as a promising catalyst for the 1-butene cracking to lower alkenes.