One of the key issues in the theory of ordered weighted averaging (OWA) operators is the determination of OWA operator weights. In this paper, a minimax disparity approach for obtaining OWA operator weights is proposed. This involves the formulation and solution of a linear programming (LP) model for a given degree of orness. The proposed approach generates the OWA operator weights by minimizing the maximum difference between any two adjacent weights. A numerical example is provided to illustrate the application of the proposed approach in generating viable OWA operator weights in a simple and effective way.