Value Stream Mapping (VSM) is a key tool in Lean Manufacturing (LM) that helps identify opportunities for process improvement. This research aims to propose an integrated method using LM tools (such as Kanban, VSM, Pareto chart, and Supplier Input Process Output Customer) and Arena simulation to improve the productivity of the production line through reducing lead time, inventory time, including Raw Material (RM) time and Work In Progress (WIP) time and enhancing Process Cycle Efficiency (PCE) ratio. To begin the process, a Pareto chart is employed to identify the main product of the organization. Subsequently, a current VSM is constructed to identify any waste in the production line. The Kanban tool is then used to propose appropriate remedies to improve the manufacturing process. To validate the efficiency of the production capacity in future VSM, Arena simulation is executed by determining Takt Time. Lastly, a future VSM is formulated based on the suggested improvements, and an appraisal is conducted to provide recommendations for prospective enhancements. A real case study of a furniture company in Vietnam is performed to demonstrate the effectiveness of the proposed method. The results reveal impressive benefits, including a 92% reduction in lead time and a corresponding 92% increase in PCE. Additionally, there is a substantial reduction of around 90% in WIP time, while RM time is completely eliminated, resulting in a 100% reduction. These findings highlight the efficacy of the proposed approach and the importance of VSM and other Lean tools in achieving process optimization.