A process for producing trans-1,4-poly(butadiene-co-isoprene) copolymer rubber, comprising: 1) subjecting a polymerization reactor to vacuum treatment and sufficient displacement with nitrogen to remove water and oxygen, adding sequentially predefined amounts of refined isoprene monomer, butadiene monomer, cocatalyst, electron donor, primary catalyst and hydrogen to the polymerization reactor through a batching device, wherein molar ratio of titanium and/or vanadium in the primary catalyst to the monomer is (0.01 to 100)×10 -5: 1, the molar ratio of aluminum in the cocatalyst to titanium and/or vanadium in the primary catalyst is 1 to 200: 1, the molar ratio of the hydrogen gas to titanium and/or vanadium in the primary catalyst is 1 to 2000: 1, the temperature for copolymerization is ranged from 20 to 100 °C, the molar feeding ratio of the butadiene to the isoprene is 0.01 to 50: 100, and the molar ratio of the electron donor to titanium and/or vanadium in the primary catalyst is 0 to 10: 1, and polymerization time is from 2 to 48 hours under a constant temperature; 2) transferring the polymer system to a termination device through a pipeline after a predefined polymerization time, and then adding terminating agent to the termination device to terminate the polymerization; 3) transferring the polymer system from the termination device to an extrusion devolatilization device and then adding an antioxidant and/or a rubber additive to the extrusion devolatilization device at the same time; removing unreacted butadiene and isoprene monomers through the extrusion devolatilization device under reduced pressure, separating and refining the butadiene and the isoprene through the separation and refining device, then delivering the refined butadiene and the isoprene back to the polymerization reactor or a storage tank for use; 4) pelletizing the polymer through the extrusion devolatilization device to obtain pelletized trans-1,4-poly(butadiene-co-isoprene) copolymer rubber, drying, metering and then packing the pelletized polymer. 1) subjecting a polymerization reactor to vacuum treatment and sufficient displacement with nitrogen to remove water and oxygen, adding sequentially predefined amounts of refined isoprene monomer, butadiene monomer, cocatalyst, electron donor, primary catalyst and hydrogen to the polymerization reactor through a batching device, wherein molar ratio of titanium and/or vanadium in the primary catalyst to the monomer is (0.01 to 100)×10 -5: 1, the molar ratio of aluminum in the cocatalyst to titanium and/or vanadium in the primary catalyst is 1 to 200: 1, the molar ratio of the hydrogen gas to titanium and/or vanadium in the primary catalyst is 1 to 2000: 1, the temperature for copolymerization is ranged from 20 to 100 °C, the molar feeding ratio of the butadiene to the isoprene is 0.01 to 50: 100, and the molar ratio of the electron donor to titanium and/or vanadium in the primary catalyst is 0 to 10: 1, and polymerization time is from 2 to 48 hours under a constant temperature; 2) transferring the polymer system to a termination device through a pipeline after a predefined polymerization time, and then adding terminating agent to the termination device to terminate the polymerization; 3) transferring the polymer system from the termination device to an extrusion devolatilization device and then adding an antioxidant and/or a rubber additive to the extrusion devolatilization device at the same time; removing unreacted butadiene and isoprene monomers through the extrusion devolatilization device under reduced pressure, separating and refining the butadiene and the isoprene through the separation and refining device, then delivering the refined butadiene and the isoprene back to the polymerization reactor or a storage tank for use; 4) pelletizing the polymer through the extrusion devolatilization device to obtain pelletized trans-1,4-poly(butadiene-co-isoprene) copolymer rubber, drying, metering and then packing the pelletized polymer.