Strategic metal minerals of specific material functions are irreplaceable in new energy, information technology, national security and military industry. A price linkage effects may exist among different strategic metal minerals, which possibly alter the operating costs and competitiveness of high-tech industries. This paper, based on case study on ten metals, zirconium, chromium, cobalt, lithium, aluminum, nickel, antimony, copper, tungsten and tin, uses a complex network method to establish a multidimensional price linkage network according to the Granger causality test of the relationship between the mineral prices, the measurement of Euclidean distance, correlation coefficient and the linkage of ups and downs. The result shows the network is of good connectivity and agglomeration, suggesting their price changes alter each other promptly. A similarity in agglomeration coefficient exists in the multidimensional price linkage network although their analyzing perspectives are different. Tins price can directly influence the other metals, rapidly. The linked price changes of the other metals in the network are mostly based on chromium. A strong agglomeration exists in sub\|group of tin, copper, antimony and aluminum during the process of price linkage, of which tin and copper are more stable and strongest in agglomeration.