On the basis of mathemtical statistics and geo-statistics methods, the spatial variability of contents of soil Organic Matter, NH_4~+-N, available P and K were analysized in Wuwei irrigated desert soil in Hexi region of Gansu Province. The results showed that the spatial variabilities of the tested soil properties were sharp, and CV of those soil properties varied from 20.299% to 53.812%, and NH_4~+-N and available P were high and their CV were 53.812% and 51.347%, respectively; The CV of OM and available K were 43.155% and 20.299%. The results of geostatistical analysis revealed that the contents of P and K had strong spatial variability and their nugget-sill ratios were 8.031% and 0.560%, respectively. The spatial dependences of soil NH_4~+-N and OM are moderate. The ranges of soil OM, NH_4~+-N, available P and K were 981 m, 2 354 m, 207 m and 129 m, respectively. The fractal demisions of soil OM and NH_4~+-N were 1.891 and 1.912, respectively, and the fractal demisions of soil available P and K were all 1.984. Namely, the spatial variabilities of soil OM and NH_4~+-N were strong and soil available P and K were weak. The results of Kriging showed that to some extend soil nutrients had spatial dependence and geostatistics method was able to be used to analyze the spatial variability of soil nutrients.\;