In a discovery service, users send requests to a system to find services that match their needs. The discovery service returns the most suitable service based on the user’s requirements using information from a linked directory. However, the information in the directory may not fulfill the user’s needs if the required information is stored in another location. To address this issue, the discovery service must be able to delegate queries to other systems that may provide the required services. In the delegation process, the discovery service must implement a model that defines the delegation behavior, especially regarding the search process and communications security, among other considerations. Regarding communication in the delegation process, the Web of Things (WoT) recommendation provides a standardized method for representing device information, facilitating interoperability during delegation. However, there is still no federation recommendation in the WoT proposal. Given the lack of a federation solution for the WoT, we propose a federated discovery model that supports supervised and unsupervised architectures in computing continuum environments. The proposed federation defines the delegation and search techniques for delegating queries between discovery services in a WoT architecture. After experimentation, the proposed model is validated by comparing the search process between a distributed federation and a centralized approach.