Abstract: The Hamilton solution system for Reissner-Mindlin thick plate analysis is established. Firstly, the x coordinate is treated as the time coordinate. The dual mixed variables are taken as the fundamental variables. The Hamiltonian canonical equations are derived. Secondly, the method of separation of variables and the eigensolution expansion method are used to obtain the analytical solutions of thick plates under corresponding boundary conditions. Lastly, the analytical solutions for typical rectangular thick plate problem are carried out. The convergence of the series solution is demonstrated. Compared with the semi-inverse approach, the Hamiltonian approach has some strong points: the solution is carried out more rationally, and the field of application is much wider.