The negative influence of chloride on concrete durability has been proved by many researchers. With the aid of both Laplace transform and Fourier Sine transform, the fundamental solution for the chloride ion transport problems with Dirichlet boundary conditions in a semi-infinite saturated, homogeneous hydraulic structure is derived in this paper. The analytical solutions with given boundaries for estimating the distribution of chloride concentration in hydraulic structure are presented. The validity of each solution is analyzed and discussed. Numerical computation shown that diffusion coefficient, reaction coefficient and seepage velocity are three dominant factors for the derived solutions. The concentration of chloride is increasing while the diffusion coefficient or seepage velocity is increasing, but the reaction coefficient is in opposition. The presented solutions are helpful for estimating the chloride concentration in hydraulic structure and can be used for verifying numerical simulations of chloride transport in complex concrete systems.