An efficient cryogenic distillation system was designed and constructed for the PandaX-4T dark matter detector based on the McCabe-Thiele method and the conservation of mass and energy. This distillation system is designed to reduce the concentration of krypton in commercial xenon from 5 × 10-7 to ∼10-14 mol/mol with 99% xenon collection efficiency at a maximum flow rate of 10 kg/h. The offline distillation operation has been completed and 5.75 tons of ultra-high purity xenon was produced, which is used as the detection medium in the PandaX-4T detector. The krypton concentration of the product xenon is measured with an upper limit of 8.0 ppt. The construction, operation, and stable purification performance of the cryogenic distillation system are studied with the experimental data, which is important for theoretical research and distillation operation optimization.