The concept of a sharing economy, as part of a wider collaborative economy concept, is among the most important economic and technological trends that will influence socioeconomic development in the future. Interest in using the opportunities offered by sharing platforms is increasing; hence, the subject is a current and important issue. Confidence in technology, service providers and application providers is a key issue when making decisions about using such solutions. The aim of the paper is to examine the level of trust in sharing economy business models considering two groups of factors, trust in people and in technology, among several demographic groups. The paper has an empirical character and the results are provided on the basis of a survey conducted in Szczecin, Poland, with 403 respondents who are current and potential users of sharing platforms. The obtained results show that platform management requires more attention focused on building mutual trust networks among participants rather than strengthening the confidence in using the technology.