Making technology of copper(II)-coordinated epoxy-amine composites with reduced combustibility has been developed that allowed to form the basis of a new type of polymer with enhanced physicochemical and mechanical properties to improve the process of pouring polymer floors. A proposed simple method allows preparing and incorporating into the epoxy resin matrix the fire retardant-hardeners. These are considered to be the interaction products of the polyethylenepolyamine (PEPA) with inorganic copper(II) salts (specifically, CuSO4, (CuOH)2CO3 and CuSiF6). The combustibility of the DGEBA/PEPA, DGEBA/PEPA-CuSO4, (DGEBA/PEPA)2-(CuOH)2CO3 and DGEBA/PEPA-CuSiF6 composites obtained (DGEBA is bisphenol A diglycidyl ether) were investigated using ceramic tube (CT) method. The flammability of the polymer samples has been evaluated using the UL94 test method according to ASTM 635-14 and ASTM D1929-16. The physical-mechanical properties were determined by considering surface hardness, tensile strength, water absorption, and chemical resistance. The effects of inorganic salts of copper(II) on the fire-hazardous indices and the performance properties of the modified epoxy-amine composites were described. The results of the CT study reveal that the maximum temperature of gases produced through combustion is appreciably decreased, along with weight loss, for modified epoxy-amine composites compared to unmodified composites. The modified polymer composites are attributed to the medium flammability substance class and can be successfully used to pour polymer floors.