Abstract: A numerical model of cooling air flow and heat transfer in a pin-finned convergent passage of gas turbine guiding vane was set up,which employed a turbulent k-ε model,a 3D Body Fitted Coordinates (BFC),the SIMPLEST Algorithm and the whole field solving method of convection-conduction conjugate heat transfer problem,taking the interlinks among the flow field,pressure field,the temperature field,the property variation and the effects of compressibility and 3D heat conduction inside a guiding vane shell into consideration.The computation results are in a good agreement with experimental data.