Spatial patterns of soil property at plough horizon of farm land by irrigating using Yellow river in arid desert region were studied by means of geo-statistics.The results showed that soil nutrient content of organic matter,total nitrogen,available N,available P and K could be well expressed by linear model;pH and electric conductivity was exponential and spherical model,respectively.The all of the null/sill of soil nutrient properties was equal 1.These results mean that weak spatial auto-relation existed.The spatial heterogeneity was mostly control by stochastic factors such as fertilizer application,irrigation and crop rotation et al.The spatial variability of soil pH was made of stochastic and structure factors.The stochastic and structure factors accounted for 50%,respectively.However,the structure factors of 67% and the stochastic factors of 33% constituted the spatial heterogeneity of electric conductivity.Fractal dimension and Moran's I coefficient also proved soil properties were weak spatial auto-relation and dependence.From another point of view,these results tested that the spatial variability of soil properties of shifting sand by improvement on the relative homogeneous matrix matrices were dominating made of stochastic factors.So,soil properties of cultural improvement soil in arid desert region undergone artificialness effects such as fertilizer application,irrigation and crop rotation et al.Farmers should pay more attention to these for preventing soil properties from in-homogeneity,and more resulted in lower efficiency for fertilizer.