This paper contributes to the literature on global inequality in multidimensional well-being by examining inter-country disparities in the longevity, knowledge and standard of material living components of the well-known and widely-used Human Development Index for the years 1992-2004. It differs from previous studies by examining global inequality in each of the components of this index alongside that of the index as a whole, thus side-stepping ambiguities over weighting that are inherent to multidimensional well-being indices. The Gini coefficient, both population and non-population weighted, is used to measure the extent of inequality. Results indicate that the different components often provide very different information to the index as a whole, especially with respect to changes in global inequality over time. Most component variables show declines in global inequality, whereas the longevity component exhibits increased inequality since 1992.