Let X be a complex Banach space. We say that X belongs to the class W if for each compact operator T defined on X such that ‖ I+ T‖ > 1 , I+ T attains norm. In this note, we characterize the ϵ- condition spectrum of any compact linear operator defined on X where X is Banach space which belongs to class W. © 2021, Forum D'Analystes, Chennai.