Under presentday conditions the main constituent in the competitiveness of any enterprise – a capaci-ty for ensuring ever-growing requirements of a con-sumer market and concrete customers to produce quality. One of the ways to solve this not simple problem is the development and introduction of an ever-improving system of quality management (SQM) meeting the highest international requirements. A significant requirement of international standards is the application in SQM a procedure of the FMEA-analysis of kinds and consequences of failures which is used for more than half a century abroad at the creation of complex engineering systems. To date a considerable urgency gains the introduction of the complex FMEA-methodology including the fulfillment of a product design analysis, the PFMEA-analysis of the product manufacturing method and the MFMEA-analysis of equipment (rigging). The peculiarity of such a complex analysis consists in the hierarchy and consistency of the ful-fillment various kinds of FMEA: FMEA of product – FMEA of an assembly (A) – FMEA of a part. All kinds of FMEA are connected and depend on each other. The FMEA result of product and assembly design is a basis for the FMEA of product and unit assembly. It is evident that the last should be carried out after the introduction of changes in the design of a unit according to the FMEA results of design. The FMEA of equipment should be carried out after the introduction of changes in an engineering procedure according to the FMEA results of a process. Taking into account this, first should be carried out the FMEA of a design and the FMEA of a process and the FMEA of equipment should complete the consistency of tests. The paper reports thoroughly the first two stages of the complex FMEA-analysis.