This article describes a novel optical tweezer system which utilizes a magnetic fluid deformable mirror (MFDM) with a wavefront sensor (WFS) and controller to produce a curved Bessel beam for manipulating an optically trapped microparticle. The MFDM is proposed to control the wavefront phase of the laser beam since it offers the ability to produce a nearly perfect axicon in reflection. The working principle of the MFDM and its modeling and design processes are introduced. A decentralized control method is presented for the MFDM to generate the desired mirror surface shape, combing an axicon and an adjustable compensation phase profile that transforms the incident beam into a self-accelerating Bessel-like beam with curved trajectory. Using a prototype MFDM, an experimental optical tweezer system is set up to verify this optical micromanipulation method. The experimental results show the effectiveness of the proposed technique for the manipulation of optically trapped microparticles.