Considering the geometric features of the transition section in a bowed-twist cooling passage of the turbine blade, a correlation modeling method was presented. The transition section was obtaining by trimming the inner part of the blade body with the tool piece, and then conducted modeling of transition section, The G¹ continuity requirements for the transfer section and the ribs are met. The principle of the method was deeply analyzed, and the automatic recognition algorithm of the rib edge was proposed. The key parameters and the constraint condition were extracted. Eventually, the parametric design module of the transfer section was developed based on UG Open API, which achieved transition section modeling.