In this article, the line heating forming technology by using the moveable induction heating is used to form a concave-type plate. In shipyard, it is necessary to get a bigger contraction deformation at the plate edge for the concave plate. However, the heat input of the metal near the plate edge is less than that of the internal metal along the heating line due to the decrease of heat power near the plate edge, thus causing smaller transverse shrinkage of the plate edge. To solve this problem, the paper investigates the suitable heating way of the inductor for the concave plate forming. An electromagnetic coupling finite element model is built to simulate the moveable induction heating process and reveal different heating and forming characteristic of different inductor heating ways. The simulation results are verified by experiments data. Research results showed that the heating way by which the inductor moves out of plate edge is an effective heating technology which meets the forming requirement of the concave plate.