The local normal to the fluid liquid crystalline phase of the lipid membrane is an axis of motional symmetry for the molecules that make up the bilayer. The presence of cholesterol in the membrane increases not only the lipid hydrocarbon chain order but also the strength of the membrane's orienting potential. Cholesterol undergoes rapid reorientation about a diffusion axis that is roughly aligned with the long molecular axis, but there is also a slower reorientation of the diffusion axis, or "wobble", relative to the local bilayer normal. The extent of this second, slower motion depends on the degree of order of the lipids that make up the bilayer. We use 2H nuclear magnetic resonance of deuterium-labeled cholesterol to investigate quantitatively the effect of lipid chain unsaturation on cholesterol orientation in a series of phospholipid bilayers. We find that the hydrocarbon chains in membranes composed of polyunsaturated lipids are much more highly disordered than those in membranes composed of saturated lipids but that cholesterol remains aligned roughly along the bilayer normal.