Faced with competitiveness and constant evolution in the sector, companies operating in the automotive industry focus their efforts on controlling the quality of manufactured products and manufacturing processes, eliminating waste, and improving performance results. Compliance of quality management systems with the automotive standard requirements is one of the major challenges facing automotive companies. IATF certification is required by the automotive market and is considered proof of the assurance of management systems. This article aims to demonstrate to automotive companies how to improve product and process quality management by implementing Lean Management tools and ensuring compliance with IATF requirements. To achieve this purpose, the concept of Lean Management and its tools in correlation with the requirements of the IATF 16949 automotive standard have been analyzed, and their synergistic effect on product and process quality management has been determined. A correspondence matrix, which will act as a guide for automotive suppliers, has been developed to determine the degree of impact of each pair (Lean Tool, IATF clause) on improving product and process quality management. This study has demonstrated that the implementation of Lean Management organizational tools and operational tools that are process-focused in conjunction with the requirements of the IATF significantly improves both product and process quality management. As for Lean Management operational tools that are flow-focused and analytical tools, their implementation in synergy with compliance with IATF requirements produces a high positive impact on process quality management.