Abstract The stability of posture is often assessed directly by the variability of certain centre of pressure parameters, such as length or area of the centre of pressure profiles. Increased variability of these parameters is usually taken as an index of decreased postural stability. In this paper we present data from normal and tardive dyskinetic adult subjects that support the notion that centre of pressure variability is not a sufficient measure of postural stability. It is shown that variability in a given centre of pressure parameter does not necessarily distinguish the different attractor dynamics that support postural control. Dimension estimates of the centre of pressure time series showed that: (1) there is more structure in the centre of pressure pattern of normal subjects than is traditionally interpreted; (2) the dimension of the centre of pressure in tardive dyskinetic individuals is systematically lower than in normals. The implication of these findings for assessing the relation between the variability and stability of posture is discussed. It is proposed that postural stability can only be assessed by considering the attractor dynamics of the postural control system.