In order to correct the optical aberration in the varifocal process of flexible varifocal lens, a flexible varifocal lens with aberration correction function is proposed. The proposed lens consists of a varifocal module and an aberration correction module based on piezoelectric actuators. The principle prototype of the varifocal lens is fabricated and an experimental optical system is built to test it. The test results show that the proposed lens can achieve the refractive power variation of -1--5 D. The aberration correction module can accurately reconstruct 3~9 Zernike polynomial aberrations, and the normalized residual error is less than 4%. The aberrations of the system under different refractive powers are corrected, the wavefront aberrations of the corrected system are all decreased by more than 76%, and the imaging quality of the system is significantly improved.