Lithium-ion battery performance is affected by cut surface quality during the electrodes' cutting process. Currently, die cutting and rotary knife slitting have been used to cut prismatic and cylindrical electrodes, respectively. Both techniques, which require expensive tooling that wear out over time, result in process instability and poor cut quality. These will cause an internal short circuit and significant heat generation in the cells. Laser cutting, proved and widely utilized in the industry, can solve the abovementioned problems by improving cut surface quality due to many advantages, such as no tool wear, high energy concentration, fast processing speed, very narrow Heat Affected Zone, applicability to nearly all materials, and flexibility of laser power. Investigating underlying physical phenomena with numerical analysis provides significant advantages to fully utilize the remote laser cutting of electrodes for lithium-ion batteries. In this paper, a mathematical model of three-dimensional self-consistent remote laser cutting is presented for anode (graphite-coated copper) of lithium-ion batteries. Computational and experimental results, obtained by using laser power of 450 W and scanning speed of 5 m s−1, show a two-step melt pool geometry and copper composition increase on the material interface.