Selection objectives in sheep breeding are changing as the nature of the pressures upon the sheep industry change. Sheep breeders particularly need to address product quality traits, as these will determine consumer acceptance of lamb. Critical traits determining product quality are carcass composition and meat quality. New measurement technology, such as Computer Tomography (CT), offers the potential for more accurate measurement of carcass traits in the live animal and consequently improved genetic gains. On the other hand, meat quality traits pose particular problems for improvement, as measurement is generally restricted to the slaughtered animal. The present study was designed to investigate carcass composition (as measured by CT) and meat quality traits, determine the inheritance of these traits, relationships between them, and investigate the prediction of meat quality traits from CT measurements. At a later stage, these data will form the basis for QTL studies for carcass and meat quality traits.