Due to increasingly stringent environmental regulations and the significant environmental impact associated with the construction, execution, operation, and renovation of buildings, sustainability is receiving growing emphasis in the construction industry. The short- and long-term environmental impact of a building is influenced by numerous factors: during the design phase, for example, location, geometry, materials used, and building services systems play a key role, but the methods applied during construction, the logistical aspects, the organization and quality of operational and maintenance processes, as well as waste management during renovation or demolition at the end of the building's life cycle are also of great importance. This study explores how parametric modelling and BIM can be integrated to support sustainable building design and practices. This literature review presents modern procedures and toolsets applicable in the design, construction, operation, and demolition/renovation phases of buildings, and identifies current research trends, gaps, and challenges. The review highlights that the integration of Building Information Modelling BIM and parametric modelling provides significant opportunities for improving sustainability performance throughout the building life cycle. In the design and construction phases, these tools enable optimisation of energy use, material efficiency, and embodied carbon reduction, while in operation and refurbishment, they support data-driven maintenance and circular material management. The findings indicate that despite rapid technological development, major challenges remain in interoperability, standardisation, and the integration of social and economic sustainability indicators.