The invention relates to a method for continuously producing cyclododecatriene. The method comprises the following steps: (1) mixing butadiene with an organic metal compound to obtain a material flowcontaining butadiene, carrying out a butadiene cyclization tripolymerization reaction on the material flow containing butadiene in a polymerization reactor under the action of a catalyst solution to obtain a reaction liquid containing cyclododecatriene; (2) feeding the reaction liquid containing cyclododecatriene and the other part of the catalyst solution into an aging reactor for carrying out areaction; and (3) feeding the reaction liquid obtained by the aging reactor into a quenching reactor, and quenching the reaction by adopting a polyamine substance as a quenching agent to obtain a quenched reaction liquid containing cyclododecatriene. According to the method disclosed by the invention, the butadiene is pretreated first, so that the polymerization reaction process is not influencedby impurities which are carried in by raw materials, and efficiency of the catalyst is increased; and meanwhile, the reaction is quenched by adopting a catalyst quenching agent, so that a post-treatment process is simplified, and production efficiency is improved.