Abstract: Objective The purpose is to solve the problem of modelling the process of laser-assisted connection process of textured titanium alloy and carbon fiber reinforced poly ether-ether-ketone composite material (PEEK), whose difficulty lies in large local deformation and fully thermo-mechanical coupling process. Methods VOF method and viscoplastic material model are used to established a fully thermo-mechanical coupling simulation model. A series of complex processes involves in the connection of titanium alloy plate upper surface heating and heat transfer to the bottom burr, the contact between the bottom burr and PEEK upper surface and the transient thermal-mechanical interaction between the two (which determines the burr insertion process) , and the full contact heat transfer between the bottom surface of titanium alloy and PEEK upper surface are modeled and simulated. Results The calculation results of temperature field, movement, and stress fields of each component during the connection process are provided. Conclusion The thermal contact of burr insertion and the overall contact heat transfer of the upper and lower interface are the two main stages in the laser-assisted bonding process between titanium alloy and PEEK, both of which are fully thermo-mechanical coupling processes. The necessary condition of the burr penetrating into the PEEK is that appropriate heat is transferred to the PEEK, conversely, the penetration of burr influences the heat transfer. The temperature of the PEEK surface rises steadily after the burr entered the PEEK entirely, and this temperature rising process sustains for a period of time during the cooling process of textured titanium alloy.