Research in corporate reputation are concentrated in the 21st century. The present article, through a systematic investigation, presents the approaches that the scientific literature has made of the term, the dimensions that emerge from its study, the approaches, findings, and the challenges involved to investigating it. The dimensions identified are: definition, consumer perspective, culture / reputation relationship, employee perspective, reputation as a competitive advantage and impact of organizational results. The challenges in the research are grouped in the demarcation of the concept, measurement system and practical utility. The authors call attention to incorporate to the studies in general the implications that have generated and those that will continue generating the developments of the called fourth industrial revolution.