Plant root system is of irregular and stochastic distribution. Because of its complex development, it is difficult to describe by Euclidean geometry theory. For approaching a way of quantitative description of root morphology, the complex morphology of plant root system was studied by using fractal theory in the paper. The basic form of Mandelbrot's fractal curve model was analyzed and the physical meaning of the model was determined also by means of the dimensional analysis method firstly. Then an applied model that is easy to measure root fractal in practice was proposed. The root fractal characteristics of winter wheat in the different growth stages, soil moisture and rooing depth were discussed using the model finally.