The invention provides a prefabricated and assembled frame pier with large cross beams and high stand columns and a construction method. The frame pier comprises a foundation, a bottom section pier column, a middle section pier column and a cross beam; when the foundation is constructed, steel bar embedded pipes and embedded thick steel bars are arranged, and joint notches are formed; a transition section is arranged below the bottom section pier column during prefabrication, thick steel bar reserved hole channels and sealing anchors are arranged in the transition section, connecting steel bars extend out of the bottom face of the bottom section pier column, and steel plate connecting pieces are embedded in the top face of the bottom section pier column. During prefabrication of the middle-section pier column, steel bar embedded pipes are arranged at the bottom, connecting steel bars are arranged at the top, and steel plate connecting pieces are embedded; when the cross beam is prefabricated, extending columns are arranged at the positions corresponding to pier columns, steel bar embedded pipes are embedded, and steel plate connecting pieces are embedded. The foundation is connected with the bottom-section pier column through thick steel bars and main bars, the bottom-section pier column is connected with the middle-section pier column through connecting steel bars and steel plate connecting pieces, and the middle-section pier column is connected with the cross beam through the connecting steel bars and steel plate connecting pieces. The structure effectively ensures the strength and durability of each joint, and is suitable for the prefabricated assembled frame pier adopting large cross beams and high stand columns.