A hazardous waste incineration process for a parallel connection kiln comprises the steps that (1), a main kiln body, a drying kiln body and multiple auxiliary kiln bodies are arranged, an outlet of each auxiliary kiln body is connected with a slag tank, and the slag tanks are connected with an inlet of the main kiln body through reversing valves, and a tail gas outlet of the main kiln body and tail gas outlets of the auxiliary kiln bodies are connected with a secondary combustion chamber; (2), solid hazardous waste and liquid hazardous waste are subjected to incineration treatment in the main kiln body, slag produced by main kiln body combustion is directly discharged, and the waste gas produced by main kiln body combustion enters the secondary combustion chamber for secondary combustion; (3), high-viscosity materials and high-salt materials with the high water-soluble salt content are subjected to auxiliary kiln body incineration treatment, and generated pyrolysis carbon residues are stored in the slag tanks temporarily; and the carbon residues in the slag tanks are discharged or enter the main kiln body through the reversing valves for incineration; and (4), materials with the high water content enter the drying kiln body and are dried, and the tail gas enters the main kiln body for oxidizing. According to the process, through the parallel connection use of the main kiln body and the auxiliary kiln bodies, long-period continuous operation of the main kiln body is achieved, operation is flexible, and the hazardous waste treatment capacity of enterprises is improved.