In order to realize the fast calculation in GPU of gamma ray positioning using neural network in portable nuclear radiation imaging,We have proposed a gamma ray positioning calculation method based on CUDA.Firstly,the gamma ray detector model,MURA imaging system and neural network ray positioning model are described.Then,the parallelism analysis of FCNN ray positioning model is carried out,and an gamma ray positioning calculation method based on CUDA is implemented on the Jetson Xavier NX platform.Finally,the accuracy of the calculation method is verified,at the same time,the efficiency of the calculation method is compared.The experimental results for 10 000 event data sets show as follows:the ray positioning calculation based on CUDA designed in this paper is almost consistent with the CPU ray positioning calculation,and its actual calculation takes 11.5 ms,in addition the acceleration ratio is about 364 times compared with the CPU ray positioning calculation.