Ordered Binary Decision Diagrams (OBDDs) are a widely used data structure for Boolean function manipulation. In particular, OBDDs are commonly used in CAD for the synthesis and verification of integrated circuits. The purpose of this paper is to design an error resilient version of this data structure, i.e., selfrepairing OBDDs. We describe some strategies that make reduced OBDDs resilient to errors in the indexes, that are associated to the input variables, or in the edges. The solutions we propose allow to efficiently restore via software the corrupt OBDD without changing the data structure, but rather exploiting its inherent redundancy, as well as the redundancy introduced by its efficient implementations.