The invention discloses an integrated stove with an oil pollution decomposition device and a method. The integrated stove with the oil pollution decomposition device comprises an integrated stove body, a smoke collecting cavity, a smoke exhaust pipe and an air outlet wind duct are arranged in the integrated stove body, a box body is arranged under the air outlet wind duct, and an anti-backflow pipe is arranged at the bottom of the smoke exhaust pipe. A mixing mechanism is arranged in the box body, a water delivery system is arranged on the side surface of the box body, a decomposition liquid storage mechanism is arranged above the air outlet wind duct, and a testing mechanism is arranged on the side surface of the box body. The method comprises the steps of the installation of the box bodyand the mixing mechanism, the installation of the anti-backflow pipe and an air outlet cover, the installation of the water delivery system, the installation of the decomposing liquid storage mechanism, the installation of the testing mechanism, the installation of a burner and a smoke guide plate and the trial operation of the integrated stove. According to the integrated stove with the oil pollution decomposition device and the method, through the design of the anti-backflow pipe, liquid in the box body can be prevented from being absorbed inversely while oil fume is discharged, the bottomend of the anti-backflow pipe is immersed in the liquid, the contact area between the adsorbed oil fume and the liquid can be increased, and the adsorption and decomposition efficiency of the oil fumein gas is improved.