The construction industry is one of the most critical activities for the sustainable development of a country, generating positive and negative economic, social and environmental impacts. These aspects can be measured by Sustainability Indicators and Indices, which are useful tools for society, investors and the government in decision-making, especially when purchasing products and services, as they quantify information about a phenomenon in a given dimension of sustainability. Therefore, the objective of this study is to propose a model for assessing the sustainability of civil construction companies, considering economic, social, environmental and corporate governance criteria. These criteria are aggregated into a single index using the PROMETHEE II multicriteria method, which allows to avoid the compensation effect caused by the aggregation operators based on the additive model. The model was used to evaluate four Brazilian construction companies: Alpha, Beta, Delta and Gamma. The data of these companies were collected in a database of the Brazilian Chamber of the Construction Industry and in the sustainability`s reports published by them. We concluded that the companies Alpha and Gamma, followed by the company Beta presented the best performances in corporate sustainability, while the construction company Delta has the worst level of corporate sustainability.