Objective: To establish the key elements in the relationship between big data and open government data, from a quality perspective. Methodology: The authors conducted an exploratory literature review to determine the lines of quality relationship between big data and open government data, emphasizing Colombia´s case. Results: The concept of quality is a common factor for big data and open government data, establishing the benefits, such as innovation, transparency, and economic growth, as well as the challenges related to quality aspects, such as guaranteeing the reliability of the origin of the data, facilitating the understanding of the data, and establishing quality standards. Conclusions: The relationship between big data and open government data from the perspective of data quality allows to exploit the potential immersed in the data, contribute significantly to the construction of knowledge, and thus provide answers to different problems or phenomena