Background: In recent years, inner grooved copper tubes, especially tubes with thin and high teeth, have been widely used in heat exchange plates due to their excellent heat transfer enhancement. Methods: In this paper, the tensile test and finite element analysis have been used to study the stress and strain of eco-green copper tubes of different sizes in the drawing process and the metal morphology after a fracture. Results: The results show that copper tubes are most easily broken where the force is greatest. Conclusion: When the copper tube is broken, the tooth breaks before the tube wall, and the tooth shape is slightly distorted. In the process of fracture, the tooth tip is seriously damaged due to stress concentration, or even crack, resulting in an extremely irregular tooth tip shape. The fracture becomes a weak place in the copper tube due to defects. This paper provides useful guidance for more accurate control of the eco-green copper tube drawing process in the future.