Shape is an important quality index of cold rolling strip.Up to now,many problems in the shape control domain have not been solved satisfactorily,and a review on the research progress in the shape control domain can help to seek new breakthrough directions.In the past 10 years,researches and applications of shape control models,shape control means,shape detection technology,and shape control system have achieved significant progress.In the aspect of shape control models,the researches in the past improve the accuracy,speed and robustness of the models.The intelligentization of shape control models should be strengthened in the future.In the aspect of the shape control means,the researches in the past focus on the roll optimization,mill type selection,process optimization,local strip shape control,edge drop control,and so on.In the future,more attention should be paid to the coordination control of both strip shape and other quality indexes,and the refinement of control objective should be strengthened.In the aspects of shape detection technology and shape control system,some new types of shape detection meters and shape control systems are developed and have successfully industrial applications.In the future,the standardization of shape detection technology and shape control system should be promoted to solve the problem of compatibility.In general,the four expected development trends of shape control for cold rolling strip in the future are intelligentization,coordination,refinement,and standardization.The proposed research provides new breakthrough directions for improving shape quality.