Quality management systems (QMS) have evolved in parallel with the concept of quality itself. The standardization of the requirements beyond the ISO 9001 standard makes the fulfillment of the suppliers and the relationship with the main clients much easier. Therefore, other criteria and/or standards have been developed that generally refer to documents published by national or international standards bodies. This work explores the situation of the main models and standards used in the automotive industry and especially in the manufacturing companies of the auto parts sector. In this case, the most commonly used models are the European Foundation for Quality Award (EFQM) in Europe, Malcolm Baldrige National Quality Award (MBNQA) in the USA, Deming Prize in Japan and Asia, among others.