A volume of an ink-deliver chamber is efficiently utilized to dampen pressure changes of ink within the chamber, and prevent air bubbles produced in the chamber from flowing into an ink-jet recording head. In addition, an ink-jet recording apparatus having a plurality of ink-deliver chambers in a small space, is provided. Two ink cases are stacked on each other, which include two ink-deliver chambers that accommodate different inks. Open sides of the four ink-deliver chambers are closed by flexible films. An ink-deliver chamber has an ink-flow inlet through which ink is introduced, and an ink-flow outlet through which ink flows to the ink-jet recording head, and the ink-flow inlet and outlet are provided at respective positions that are substantially most distant from each other such that almost all portions of an inner space of the ink-deliver chamber, where ink flows, are located between the ink-flow inlet and outlet.