The COVID-19 pandemic, declared by the World Health Organization, is a public health emergency of international importance. The harms to human health caused by the SARSCoV-2 virus, and the socio-environmental and economic impacts resulting from it, demand immediate and articulated responses, involving studies from different areas of knowledge. In this perspective, this article is the result of a study under development, of an exploratory, descriptive and analytical character, which aims to map the spatio-temporal distribution of confirmed cases and deaths registered in the state of Mato Grosso do Sul. Likewise, it aims to identify in the urban network, the spatial association between the levels of centrality and the 280 positive cases. Considering the period between epidemiological weeks 11 and 18 of 2020, it can be said that, generally and preliminarily, contagion evolves from urban centers with higher levels of centrality to those with lower levels. On the other hand, heterarchical spatial interactions also contribute to understanding the beginning of contagion in centers with a lower hierarchical level. It is emphasized that the results can contribute to state health surveillance, offering subsidies for prioritizing places for actions, for monitoring and for studies that can identify socio-environmental risks and vulnerabilities. [ABSTRACT FROM AUTHOR]