Based on the diffraction optical theory, the intensity distribution in the vicinity of the focus of circular Fresnel zone plate formed by Bessel-Gauss beam was studied. Hollow beams were obtained near focus under the illumination of high order Bessel-Gauss beam, the width and the length of central hollow depended on the order of the beam and the number of plate zones. In general, the size of the dark hollow increased with increasing beam order, the length of the dark hollow decreased with increasing number of FZP. Needle beam and bottle beam can be produced under the illumination of zero order Bessel-Gauss beam. These beams with special intensity distribution may have potential applications in laser processing and trapping particles.