LuYAP∶Ce crystal has the advantages of short decay time, high density, high light yield and nondeliquescence. The scintillation crystal arrays fabricated with this crystal can quickly obtain the accurate information of positron annihilation at picosecond level. A fabrication method of LuYAP∶Ce scintillating crystal array is presented in this paper. The LuYAP∶Ce crystal prepared by the Czochralski method is cut and polished by the chemical mechanical polishing, and a crystal array is finally fabricated by using the filling material. The luminance uniformity test of the array is carried out on the Xray machine, and the luminance inhomogeneity is measured to be 14.8%, which satisfies the application requirements.