Abstract: The concentrate degree of trace element and its acid-removal rate of elements for the 5 different rank of coal from No. 8 coal formation in Shanxi Province of China have been analyzed and suggested that the coal metamorphic de- gree had played a big role in concentrate amount,level and occurrence of trace elements in coal. In general,the stron- ger metamorphic coal is characterized by the fewer enrichment numbers and the smaller enrichment degree of trace el- ement. While their occurrence modes of trace elements are quiet complicated. The proportion of chalcophlile elements had been increased due to the influence of post magmatic hydrothermal occurred widely in Xishan Mine. Furthermore, the level of similarity between the acid-removal rate of trace elements and its first ionization energy was quantitatively obtained using MATLAB software guided by Ergodic manner and element periodic law. Consequently,it was proposed that the coal level of similarity would decrease when its metamorphism is stronger. Most of elements rejected by the MATLAB software are evidently enriched trace elements and shows complex contained in more than two minerals. But, elements not rejected by MATLAB software are those occurred as the combined state of minerals.