Abstarct: In this study, nonlinear vibration of a curved carbon nanotube conveying fluid is investigated which is covered by a piezoelectric laxyer. The Euler–Bernoulli beam theory is employed to establish the governing equations of motion for the vibration behavior of the system. The slip boundary conditions of CNT conveying fluid is considered baxsed on Knudsen number and the mathematical modeling of the structure is developed by means of Hamilton’s principle. Then, the Galerkin method is employed to discretize the equation of motion and the frequency response of the system is extracted by applying the multiple scale method for piezoelectric baxsed primary and parametric excitation. Finally effect of various parameters such as applied voltage, piezoelectric thickness, initial curvature Knudsen number and small scale parameter on the frequency responses of the system is investigated.