TheSBdistributions were defined by Johnson (1949). Tables for fitting the fourSBparameters by the method of moments have been provided by Johnson and Kitchen (1971a, b). Bukač (1972) showed that a choice of four symmetrical and equidistant standard normal deviates simplified the solution to allow a direct solution of a quartic equation for theSBparameters. This paper presents a method of reducing Bukač's quartic equations to a quadratic equation which leads to an explicit solution for theSBparameters.