Abstract. Many techniques in model-based diagnosis and other research fields find the hitting sets of a group of sets. Existing techniques apply to sets of finite elements only. This paper addresses the computation of the hitting sets of a group of sets whose elements are convex or non-convex, bounded or unbounded continuous regions. We assume the conflict sets are known and we present a novel procedure, the Continuous Hitting Set algorithm (CHS) for transforming conflict sets of continuous elements into minimal hitting sets.