Hyperspectral images classification is one of the important methods to identify image information,which has great significance for feature identification,dynamic monitoring and thematic information extraction,etc.Unsupervised classification without prior knowledge is widely used in hyperspectral image classification.This article proposes a new hyperspectral images unsupervised classification algorithm based on harmonic analysis(HA),which is called the harmonic analysis classifer(HAC).First,the HAC algorithm counts the first harmonic component and draws the histogram,so it can determine the initial feature categories and the pixel of cluster centers according to the number and location of the peak.Then,the algorithm is to map the waveform information of pixels to be classified spectrum into the feature space made up of harmonic decomposition times,amplitude and phase,and the similar features can be gotten together in the feature space,these pixels will be classified according to the principle of minimum distance.Finally,the algorithm computes the Euclidean distance of these pixels between cluster center,and merges the initial classification by setting the distance threshold.so the HAC can achieve the purpose of hyperspectral images classification.The paper collects spectral curves of two feature categories,and obtains harmonic decomposition times,amplitude and phase after harmonic analysis,the distribution of HA components in the feature space verified the correctness of the HAC.While the HAC algorithm is applied to EO-1 satellite Hyperion hyperspectral image and obtains the results of classification.Comparing with the hyperspectral image classifying results of K-MEANS,ISODATA and HAC classifiers,the HAC,as a unsupervised classification method,is confirmed to have better application on hyperspectral image classification.