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The UML model of a land and building cadastre is defined in current Polish legal regulations. Its main part is the UML application schema that defines relationships between the main cadastral objects in sixteen diagrams. These objects—cadastral parcels, buildings and (independent) premises—are essentially 2D objects. Their relationships with other cadastral objects are compared and analysed in this paper. The UML model is built to supplement the application scheme of the traditional cadastral model with three new objects that are the equivalents of the main cadastral objects in 3D: ‘Cadastral Parcel 3D’, ‘Building Legal Space 3D’ and ‘Premises 3D’. Although the first two have been defined in earlier publications, this paper defines ‘Premises 3D’. Objects such as ‘Building Common Part 3D’ and ‘Building Part of Non-Extracted Premises 3D’ are proposed. The relationships among new 3D cadastral objects and objects of traditional cadastre are presented in three new diagrams. The authors propose that these new diagrams are added to the current cadastral model. It could be the foundation for building a future 3D cadastral model in Poland. In the authors’ opinion, the applied methodology may also be used in various legal systems.