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In order to solve the problem of single function after the existing acoustic lens structure is determined, a new technique of gradient index curved acoustic lens based on tunable material is proposed. Different from the traditional acoustic lens which relies on geometric array structure gradient, the curved acoustic lens establishes the mapping relationship between the temperature and the material acoustic refractive index through the circuit system, and adjusts the precise distribution of the gradient refractive index. Curved-surface acoustic lens can realize many kinds of acoustic function devices under different gradient temperature control, such as stealth cloak, Lunenburg lens and fishe-eye lens, etc. It has the characteristics of simple debugging and easy operation. Based on the tunable acoustic properties of the lens material and the temperature control technology of the thermal circuit, a functional switchable gradient index curved acoustic lens device is realized. The research results can provide theoretical and technical support for the design of new multifunctional acoustic waveguide control devices.