The methods of HCl-HNO3-HF and HCl-HNO3-HF-HClO4 were improved to overcome the incomplete decomposition of refractory elements and bad replication results of volatile elements. The analysis method has been developed for 15 rare earth elements and common trace elements by ore dissolution and determination. Analytical quality and efficiency have been greatly improved. The effect of volatile elements is discussed in detail for the decomposition method. The results are in good agreement with certified values. Standard deviations of the method are 0.03%~4.97%. This method is rapid, simple and practical with high precision.