Abstract: Global navigation satellite reflection system (GNSS-R) is of great significance for the extraction and research of accurate information of ocean surface topography. In this paper, two specular reflection point search algorithms are proposed for the accuracy of specular point search. Firstly, based on the analysis of the basic reflection relation, a search algorithm based on Fibonacci method is proposed, and its superiority over the golden section method is proved from the perspective of number theory. Secondly, a method based on extreme derivative is proposed to establish the distance and function of the variable K, which omits the iterative process in the traditional method. Finally, GNSS satellite and receiver coordinates are generated by navigation simulator, and MATLAB is used for simulation. The simulation results show that the Fibonacci method is better than the Golden Section, and the extreme derivative method can calculate the position information of the specular reflection point, and the traditional iterative step is abandoned.