Traditional identifier-based authorization models are limited to having different authorization paths that will cause the inconsistency in propagation of permission. In addition, unauthorized entities may acquire illegal permission by such an identifier-based authorization path. In order to solve these two problems, an attribute-based authorization delegation model (ABADM), suitable for multi-domain environments is presented. In the ABADM model, the delegation of authority and the propagation of permission are all based on the attribute sets of entities, which ensure that the entities on the same credential chain have the same permission. The model integrates attribute-permission assignation policies inside autonomic domains and the interdomain attributes mapping model. The algorithm for calculating the attribute sets and permissions of entities in the multi-domain environments is proposed. The usage of the ABADM model is illustrated through a common example.