The invention provides a well drum dosing device of a hollow oil pumping rod and a well drum dosing method. The well drum dosing device of the hollow oil pumping rod comprises a ground conveying system and a downhole oil rod column. The downhole oil rod column is located in a downhole oil pipe. The downhole oil rod column comprises the hollow oil pumping rod, a solid oil pumping rod, an oil pump plunger, a screen pipe, and a pipe plug, wherein the hollow oil pumping rod, the solid oil pumping rod, the oil pump plunger, the screen pipe, and the pipe plug are connected in sequence from top to bottom. A liquid outlet is formed between the hollow oil pumping rod and the solid oil pumping rod. The oil pump plunger is arranged in a pump drum of an oil pump. The screen pipe is connected with the lower end of the pump drum of the oil pump. The downhole oil rod column communicates with the ground conveying system through the upper end of the hollow oil pumping rod. According to the well drum dosing device of the hollow oil pumping rod, agentia is added into an oil pipe through the hollow oil pumping rod, the problem of difficult annular injecting of high gas oil ratio oil well agentia oil sleeve ring is solved, the function that crude oil wax and dirt on the inner wall of the oil pipe and the outer wall of the oil pumping rod are removed is achieved, an oil flow channel of crude oil is enlarged, the passing ability of the crude oil in the oil pipe is improved, and the production efficiency and effects of an oil well are improved.