COVID-19 is the most critical health and safety risk facing the global construction sector. The COVID-19 crisis leads to reduction in site productivity, has increased compliance costs, delayed projects and increases construction workers' exposure to risk and infections. However, as countries begin to ease lockdowns and restrictions, there is a need to examine the measures that the construction companies can take to ensure workers are “Covid-safe”. This research developed a questionnaire instrument that included 24 Covid-preventive measures on construction sites. Isolating sick workers, conducting daily checks for COVID-19 symptoms, preventing hugging/handshaking at the site, displaying health advisory posters and info-graphics, and providing face masks to workers are seen to be the main measures towards keeping sites “Covid-safe”. The Principal Component Analysis structured the 24 measures into 4 components. The 4 components explained about 73% of the model, namely hygiene and control, equipment and monitoring, awareness, and incentives. The results found that compliance costs of health and safety regulations to prevent COVID-19 will increase by more than 20%, site productivity will be reduced by up to 50%, and the pandemic will have caused a 40% increase in skills shortage. Cluster analysis was performed to cluster the sites in terms of their exposure to COVID-19 risk. In order to examine the practicability of the findings, the model was validated with 4 case studies. It is asserted that the research findings’ have potential to keep sites “Covid-safe” which help construction companies increase productivity, reduce project costs, reduce claims and deliver projects on schedule. This research is the first to examine measures to prevent the spread of COVID-19 on construction sites and the findings hold critical theoretical and practical implications for future research on health and safety management.