This paper systematically summarizes the new progress made incritical elements mineral experimental testing since 2011. The experimental research results of extracting ionic rare earth elements from ion- adsorption type rare earth samples by soaking with ammonium sulfate and tracing rare earth origin by Nd isotopes and trace elements, and, quick qualitative and quantitative analysis in field using XRF for ion- adsorption type rare earth sample are mainly introduced. The results showed that the difference of extraction rate of each rare earth elements could be clearly reflected by using 2.5% ammonium sulfate solution immersion extraction and ICP- AES and ICP- MS determination. Nd143/Nd144 isotope ratios in rare earth samples were determined by high precision MC- ICP- MS. The difference can be used to trace different rare earth samples origins. Through accurate analysis of rare earth and other trace elements in rare earth concentrate samples from different producing areas, data correlation analysis and data classification analysis were carried out. By comparing the contents of Y, Be and Bi, the source of rare earth concentrate can be judged. Rapid qualitative and quantitative analysis in the field can complete the determination of one sample in 20 minutes. This method can not only qualitatively judge whether it is ion adsorbed type rare earth, but also quantify the content of rare earth elements in each ion phase, and the result is in good agreement with the accurate analysis results in the laboratory. It can provide technical support for rapid screening of ion adsorbed type rare earth deposits in China. Determination scheme of critical elements in tungsten molybdenum and niobium tantalum ores using ICP- AES & ICP- MS with mixed acids microwave decomposition of samples are also mainly introduced. The characteristic of this scheme is that the hydrofluoric acid- resistant system is adopted. Especially for high content W, Nb and Ta samples. Otherwise, hydrolysis is easy to occur, which results in systematic low determination results. The characteristics of common geological samples of critical element ores in China are summarized. According to sample types, matrix characteristics and elements of interest, 10 new methods for critical elements determination using modern analytical instruments have been established. These methods meet the specification of testing quality management for geological laboratories.