A new method of color image threshold involves dividing the color image threshold using the H component of the color image hue-saturation-intensity (HSI) model. Considering that the H component is a circular histogram, it is an effective method to break the circular histogram into a linear histogram and subsequently use the linear histogram threshold segmentation method to select the threshold. In information theory, the information energy is the dual of Shannon entropy, and this study first introduces the concept of cumulative distribution information energy of the linear probability distribution, which is used to determine the breakpoint of the circular histogram. Thereafter, it provides the information energy threshold method on the linear histogram, which is used to determine the threshold of the H-component circular histogram. Compared with the Shannon entropy threshold selection criterion based on logarithmic operation, the information energy threshold selection criterion based on square operation has the advantages of simple expression and fast calculation speed.