A scheme of coaxial reflective laser communication antenna added an axicon pair was proposed. This antenna could rearrange the light intensity distribution of the incident beam, leading to a great reduction of the energy loss caused by the central obscuration of the coaxial reflective structure and an increasing of the light-energy-utilization-ratio. Using the diffraction optical principle, the optical field distribution of the monochromatic Gaussian beam propagating to the antenna optical stop plane passed the axicon pair was analyzed and simulated, and the transmitting light energy utilization ratios of the ordinary coaxial reflective antenna and the high light-energy-utilization-ratio antenna in different incident beam waist and line obscuration ratios were compared. It was found that at the line obscuration ratio of 0.1 and 0.25, the light-energy-utilization-ratios of the high light-energy-utilization-ratio antenna were more than 99% and 96% through adjusting the incident beam waist diameter reasonably, which were much highest than that of the traditional coaxial reflective antenna. The far-field optical intensity of the light-energy-utilization-ratio antenna transmitting beam was analyzed, and the the light intensity in the receiving antenna aperture can be considered as a flat top distribution.