The paper presents a methodology for the problem of reducing the order of H(infinity) suboptimal controllers. It is shown how the order of H(infinity) suboptimal controllers may be reduced to n - p2 and how for some plants the order may be less than n - p2, where n is the size of the system matrix of the generalised plant and P2 is the number of process outputs. A set of H(infinity) suboptimal controllers of order n - p2 is characterised. A numerical example is given to illustrate the results.