The quality and safety of construction buildings are major concerns of the parties involved in their execution as well as of their clients and users. This work proposes, in analogy with the HACCP System - Hazard Analysis and Critical Control Points, a new type of quality and construction safety management by employing the assessment of risks and critical points, referred to as ARPCCTC - Assessment of Risks and Critical Control Points in the Construction Technology. After the description of the specific construction technologies, this article defines and describes the principles of the new quality management system. The document details the stages required for the implementation of the new system and the conclusions and advantages related to the ARPCCTC System. We estimate that the proposal for the enforcement of the new quality management system in the wide construction field will generate attitudes, discussions and comments between specialists and every person interested in the quality and safety of construction building.