Titanium fire is a typical catastrophic failure of modern aeroengine. Abnormal friction between compressor rotor and stator is the main heat source. A three-dimensional thermo-mechanical-wear coupled finite element model of rotor/stator specimens was established by dynamic mesh method combined with equivalent model. The temperature field of the friction ignition process of fireproof titanium alloy under different friction contact pressures and temperatures was numerically modeled and simulated. The results show that the maximum temperature of the rotor specimen is lower than that of the stator specimen. Under 200 N friction contact pressure and room temperature boundary conditions, it cost 7.2 s to reach the ignition temperature of the TF550 fireproof titanium alloy stator specimen. At the same time, the temperature of the rotor specimen remains around 1 000 K while the temperature of the stator specimen remains around 1 900 K; when the friction contact pressure increases from 200 N to 400 N, the ignition delay time reduce to 3.3 s. When the friction contact pressure rises to 700 N, the ignition delay time decreases to less than 2 s; at 823 K ambient temperature, the ignition delay time of stator is 5 s, which is 2.2 s shorter than that of room temperature; relative to the influence of ambient temperature, the change of friction contact pressure has a greater impact on the heating rate.