The present invention provides a method and a reactor for removing organic matters by immobilized-enzymatic electrode coupled electro-coagulation. In the method, in a single electrochemical system, an enzyme-modified electrode is combined with electro-coagulation to synergistically remove organic matters from water. Certain electrochemical parameters are controlled such that a polymerization reaction is performed between hydrogen peroxide generated by a cathode reaction and organic matters catalyzed by the immobilized-enzymatic electrode. After the polymerization reaction, the organic product enters an anode chamber through a pump. The organic product is precipitated and removed by performing a reaction between the organic product and different hydrolysis products from the electro-coagulation through a coagulating/flocculating effect of compression of a double electric layer, adsorption and electric neutralization as well as precipitation capture. Ultimately, the object of removing the organic matters synergistically through the enzymatic catalyzed polymerization at the cathode and the electro-coagulation at the anode is achieved. The present invention has a strong selectivity for low-concentration toxic organic pollutants and a good effect in removing small-molecular hydrophilic organic matters, the addition amount of enzyme is low, the cathode and the anode are fully used, the cost is reduced, the operation is simple, and the applicable is wide, therefore, the present invention is applicable to a variety of water and wastewater containing organic matters, and the contaminated water.