In order to study the two main thermoforming processes of thermoforming with furnace and temperaturereached thermoforming,through the analysis of thermoforming rheological properties and microstructure evolution of TA32 titanium alloy,the effects of common influence factors such as temperature,deformation rate and strain were studied firstly,and then the effects of heating rates and cooling methods under two thermoforming processes were compared.The oxidation behavior of TA32 titanium alloy under different high temperature lubricants and thermoforming conditions was also researched by two-factor two-level orthogonal test.The best formability and properties of TA32titanium alloy present during temperature-reached thermoforming with these process parameters:the temperature 800℃,strain rate 0.001 s~(-1),holding time 30 min,strain between 0.45 and 0.6,heating rate 800℃/5 min and air-cooling.Under this condition,TA32 titanium alloy has better plasticity,lower deformation resistance,uniform grains,and the moreβequiaxed grains.The lowest oxidation degree is found that the sample with the lubricant of cubic boron nitride(CBN)during the temperature-reached thermoforming.Finally,the temperature-reached thermoforming with the lubricant of CBN is the best process for TA32 titanium alloy sheets thermoforming.