A fast local feature description algorithm based on the region histogram of Greyvalue Differential Invariants(GDIs) is presented to improve the traditional GDI feature descriptor with complex computation, worse stability and less information. The GDIs with the meaning of differential geometry derived from low order derivatives are used to describe a feature point to reduce the computation complexity of the feature descriptor and enhance the stability. The intensity and relative location of the feature point neighborhood are made full use of to increase the content of information and improve the robustness of the feature descriptor. Finally, the feature description is used to match images.The experiment results demonstrate that the proposed algorithm can get better matching results in the cases of image zoom, rotation, blurring, illumination varying, smaller viewpoint changes as well as JPEG compression. Furthermore, the processing speed is about twice that of the Scale Invariable Feature Transform(SIFT).