Over the past dacade, there have been many significant advances in the area of accessory mineral's geochronology, notably permitted by the development of imaging and in situ microanalytical dating techniques, which include isotopic dating technique and chemical Th-U-total Pb isochron method. The isotopic microanalytical dating techniques include ion microprobe and laser ablation micro-probe-inductively coupled plasma mass spetrometry. There are three kinds of  techniques to perform Th-U-total Pb isochron dating analyses, including electron probe X-ray microanalysis, proton-induced x-ray emission micro-probe and X-ray fluorescence  probe. The internal textural complexity can be revealed by means of cathodoluminescence(CL)or back-scattered electron (BSE)imaging, HF etching imaging and laser raman spectrometry. Zircon, monazite, xenolite, apatite, titanite, rutile and baddeleyite are usually used to U-Th-Pb dating. A review has been made on their applicabilities to geochronology (including each mineral’s superiority or limitation in U-Th-Pb dating, closure temperature). Methods of determining genesis of those minerals (such as zircon, monazite, xenolite, titanite )which usually show multiple generations in a single crystal have been introduced. In addition , some recent advances of geochronology and their geological applications have also been introduced. The accessible accessory minerals used for dating magma, metamorphism and deposition processes have been summed up. Besides,  the corresponding requirements , limitations and resoluble problems have been listed. Finally, Main advances in geochronology have been summarized. Viewpoints have been put forward that main problems should be dealt with to extract valuable chronological and genetic information locked in accessory minerals that are often used in petrographical study, mineral microtexture and or microchemical investigations, mechanisms of element mobility within crystals.