This paper investigates the Buchsbaum property of Segre product of Buchsbaum vector bundles on multiprojective spaces. A Buchsbaum vector bundle on the projective space is isomorphic to a direct sum of exterior products of differential sheaves with some twist. We will give cohomological criteria for the Buchsbaum property of the Segre products of these bundles. (C) 2016 Elsevier Inc. All rights reserved.