This paper proposes a new method for control-point based geometric correction of historical maps. The proposed method is a hybrid approach combining the triangulated irregular network (TIN) method with the vector field analysis (VFA) method. The above new method aims to achieve a short calculation time that is an advantage of TIN while also maintaining both the homeomorphism property and straightness of designated specific edges that are advantages of VFA. Specifically, the control-point triangle mesh obtained by the TIN method is modified to avoid the violation of homeomorphism by adding new control points whose positions are estimated by the VFA method. The triangle mesh thus obtained is then further modified by the constrained-triangulation method so that the designated edges necessarily exist. The experimental results show that the proposed method actually achieves the above characteristics.