[Objective] The topographic factors were effectively and scientifically quantified while accounting for the local and global self-similarity of ground objects

and the multifractal characteristics of slope topographic factors in different geomorphic areas of the Loess Plateau were summarized in order to provide a reference for subsequent research on topographic factors in the Loess Plateau. [Methods] The digital elevation modle (DEM) data from different areas of the Loess Plateau were selected

and the multifractal characteristics of slope data in each study area were tested by using the method of box dimension calculation multifractal spectrum. The multifractal spectrum and multifractal characteristic parameters of slope fractal body were calculated by multifractal calculation of slope factor. [Results] The variation range of the minimum slope singularity index was 1.82—2.90 in the Loess Plateau area and 1.92—2.43 in the mountain area

and the variation range was relatively large. The minimum slope singularity index ranges were 1.94—2.07 and 1.85—2.19 in the loess hilly region and valley plain region

respectively

with relatively small variation range and relatively uniform topography. The maximum value of the multifractal spectrum corresponding to the maximum slope singularity index was 1.63

and the minimum value was 1.57 in the valley plain area. These geomorphic unit with the smallest slope had the largest proportion in the valley plain area and the smallest proportion in the Loess Plateau area. [Conclusion] Differences in multifractal spectrums in different study areas can truly reflect terrain complexity. Compared with the statistical results of traditional quantitative methods

the multifractal feature parameters can objectively reflect the multifractal features of different terrain regions in the Loess Plateau.