The invention discloses a reactor for realizing the completely-mixed flow of gas-phase or gas-solid two-phase fluid, which comprises an upper part and a lower part, wherein the upper part is connected with the lower part; the upper part and the lower part both are revolving bodies; the upper and lower revolving bodies have a structure in which the diameters of the sections of the revolving bodiesincrease gradually from the bottoms of the revolving bodies to the connection part of the upper and lower revolving bodies. The lower revolving body of the reactor is provided with at least a gas feeding channel, the top of the reactor is provided with an air outlet, and the gas feeding channel is arranged along the tangential direction of the inner periphery of the lower revolving body of the reactor. The invention also discloses a method for realizing an completely-mixed flow reaction by using the reactor, which comprises the steps of forming a spiral vertex flow first after feeding the gas, then forming an up-and-down vertex flow, and mixing the spiral vertex flow and the up-and-down vertex flow to realize back-mixing. The reactor can realize a gas-phase or gas-solid two-phase reactionby using the structure of the reactor, and has a simple structure, and can make the non-dimensional variance close to 1 by combining with the parameters such as inlet velocity and the like, thereby realizing the complete mixing.