The marble industry in Mexico, similarly to the international market, is going through some problems which are characterized by low productivity performance, inconsistency in management and administrative organization, high raw material waste, and negative social and environmental impact. The methodology used in this paper is based on a systematic review of the strategies and solutions used to address these problems reported between 2014 and 2021, including the results of the application of in situ surveys to three marble companies in the Mixteca Poblana region. These surveys are collected in this article alongside industry experience to propose, in a structured way, a three-pronged management approach with the aim of directing the marble industry towards a sustainable industry model. The structure of this approach, based on forms of capital and sustainability dimensions, engages governments, companies, schools and society to guide this industrial sector to become a sustainable business, integrating knowledge and experience of the marble industry processes. We recommend adding performance metrics to this approach to assess the value chain of the marble industry.