We demonstrate a high-sensitivity curvature sensor based on the negative curvature hollow core fiber (NCHCF). The graded index fiber (GIF) is introduced between single mode fiber (SMF) and NCHCF for the sensor of cascaded structure of SMF-GIF-NCHCF-GIF-SMF. The coupling efficiency can be improved by cascading the GIF. The experimental results show that there are two coexisted mechanisms in the cascaded structure, where multi-mode interference (MMI) is sensitive to curvature change and anti-resonance (AR) is insensitive to curvature change. The obtained curvature sensitivity based on MMI is up to -4.97 nm/m -1 . With advantages of compactness, flexibility, high sensitivity and so on, the curvature sensor shows prospects in structural health monitoring, medical applications, energy exploration and other fields.