Abstract Because of the importance of data-sharing for the economy, improved products and services, and to benefit society, the European Union has proposed developing a Common European Data Space (CEDS). The goal is to create a single European data market through 14 domain-specific data spaces (e.g., agriculture, or the Common European Agricultural Data Space (CEADS)). One of the central tenets of the CEDS is to ensure that those who share data can maintain control over who has access to, use of, and ability to share it (or ‘data sovereignty’). Data sovereignty is an umbrella concept with many different values comprising its implementation. Therefore, to successfully implement data sovereignty in the CEADS (and all CEDS for that matter), it is important to identify what values are important for stakeholders.This paper examines the CEADS to identify the most critical values for potential stakeholders of this data space. We implement a six-phase value-sensitive design methodology called ‘value mapping’ by interviewing stakeholders from an incipient Spanish data-sharing initiative (potentially representing over 1 million farmers) and conducting a workshop with 42 international stakeholders at an agri-tech summit. Our findings demonstrate the different values that are important for stakeholders of an agricultural data space: farmers (privacy, control, and trust); farm advisors (human welfare and autonomy); farmer associations (trust and human welfare); technology providers and intermediaries (autonomy and human welfare); public and regulatory bodies (autonomy); and society (justice). Furthermore, we describe different interdisciplinary steps to ensure and protect these values to ensure sovereignty-by-design in the CEADS.