In order to obtain the thermal decomposition properties and melting crystallization kinetic parameters of the lowest eutectic mixture of 3-amino-2，4，6-trinitroanisole （ANTA）/N-methyl-2，4，6-trinitroanisole （TNA）， the thermal decomposition properties of the lowest eutectic mixture of ANTA/TNA were studied by differential scanning calorimetry （DSC）， and the thermal decomposition kinetic parameters were calculated. The effects of additives （HMX and RDX） on the melting process and crystallization process of the lowest eutectic mixture of ANTA/TNA were studied by microcalorimetry. The non-isothermal melting and crystallization behaviors of the eutectic mixture were analyzed by Šatava-Šesták method and Avrami method， respectively. Results show that the lowest eutectic mixture has good thermal stability， and the thermal decomposition kinetic parameters are close to that of ANTA and TNA. The melting process of eutectics conforms to the first-order reaction kinetics， and the heating rate has a great influence on the melting kinetic parameters. Additives can reduce the dependence of melting kinetic parameters on the heating rate to a certain extent. The crystallization process of the lowest eutectic mixture gradually shifts to the low temperature region with the increase of cooling rate， and the crystallization rate decreases with the increase of crystallinity. In HMX medium， the crystallization rate is less affected by crystallinity， and the crystallization rate in RDX increases with the increase of crystallinity.