Construction projects require a classification system based on the domain the project is in. For the Quality domain, no such classification system exists. Construction projects are executed to different quality standards depending on the type of project and amount of money being invested. There is a significant difference in the quality requirements associated with residential, commercial, infrastructure and industrial projects. This results in significant difficulty when attempting to identify and/or compare quality management systems, cost of quality (CoQ), and process requirements for the full spectrum of construction projects. This research investigates and discusses measurement system requirements, published construction classification system research for relevant domains, and presents an exploratory quality classification system for use by when attempting to classify and compare construction projects. The proposed classification system is aligned with the primary constraints in construction including its ease of use and supports research into key elements such as planning and controls, materials, specifications, complexity and human factors. Various case studies for cost of quality, prevention, appraisal, failures were classified using the system to determine trends in quality research and validate the classification system. It was noted that construction megaproject CoQ research has been minimal.