Fibonacci zone plate (FiZP), with properties of bi-foci in focal plane and self-reconstruction, can simultaneously trap particles positioned in two different planes and move particles freely in the focal plane. The structure and axial strength of FiZP are analyzed. The experimental platform is established by combination of liquid crystal spatial light modulator, inverted optical microscope and optical elements, and used to capture particles in three dimensions. Experiments show that the FiZP beam has three-dimensional optical acquisition characteristics, and can be used to build three-dimensional optical tweezers and achieve complex capture function.