In this paper we show a Bushell-Okrasinski type inequality for fuzzy integrals. More precisely, we show that:s {cauchy integral}01 (1 - t)s - 1 g (t)s d t ≥ fenced({cauchy integral}01 g (t) d t)s, where g : [0, 1] → [0, ∞) is a continuous and strictly decreasing function and s ≥ 2. © 2007 Elsevier Inc. All rights reserved.