Connection mode of high arch dam type at the top of the elevator shaft and the dam has been paid widely attention by the scholars. In this paper，the method of elastic connection was proposed to solve the problems caused by the construction of the common concrete connection and the connection mode without restraint. The combin14 element of ANSYS finite element analysis software was used to simulate the elastic connection. The tension stress and displacement of the elevator shaft were compared with that of the concrete fixed connection and the non-restrained connection. The influence of elastic connection on the structure of the elevator shaft was analyzed in detail when the elastic coefficient k was taken. The results showed that when the top of the elevator shaft was connected with the dam，the displacement of the top of the elevator shaft was effectively restricted and the pull stress in the elevator shaft was reduced. This did not cause the increase of joint stress at the top of elevator shaft and effectively solved the problems caused by the use of a fixed connection. The results can provide reference for the design of high-arch-dam-after-elevator shaft.