The pressure dependence of the ionic conductivity of molten lithium bromide is calculated by the mode-coupling theory. The required equilibrium structure is obtained by the hypernetted-chain integral equation. The pressure dependence of the molar ionic conductivity shows a maximum value, which is consistent with an experiment. The conductivity slightly exceeds the value predicted by the Nernst-Einstein equation, which is also consistent with a molecular dynamics simulation and an experiment. (C) 2003 Elsevier Science B.V. All rights reserved.