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Strip shape control theory is one of the core control technologies involved in strip rolling. Over the years, strip shape control theory has been studied in depth and developed into a relatively accurate system. However, there are still some problems in the production process of ultra-thin strip, in which strip shape control is the production bottleneck. During cold rolling, the shape quality is usually determined by detecting the lateral tension distribution. The transverse tension distribution depends mainly on the transverse distribution of the roll gap and the metal transverse flow in the deformation zone. For ultra-thin strip rolling, the transverse distribution theories for the roll gap are relatively accurate. The main problem is that the metal transverse flow mechanism for is not accurate. The metal transverse flow in the roll gap depends on the stress state and the tension distribution in the deformation zone. Scholars have performed a significant amount of experimental and theoretical analyses on the metal transverse flow.1–14) At present, there are three general methods for analyzing the metal transverse flow: the three-dimensional difference method,1,2) the finite element method3–6) and the energy method.7–12) One of the most widely used is the energy method, which has a high computational efficiency. Lian10) has analyzed the metal lateral flow during cold rolling using the energy method. For the An Analysis of the Metal Transverse Flow in the Roll Gap for Ultra-thin Strip Rolling Using the Energy Method