The exact solutions of displacement and inner force for clamped rectangular thick plate were deduced with twodimension finite integral transform method. With the employment of Mindlin theory for solving the control equation of elastic rectangular thick plate, twodimension finite integral transform was carried out for control equation without selecting displacement equation. And the high order partial differential equations were transformed to linear equations, and then the exact solutions can be obtained with integral inverted transform. The expression of displacement and inner force for clamped rectangular thick plate were deduced only with finite integral transform method and a case study was made for validation. And it was shown that the results from finite integral transform method for displacement and inner force are accurate.