The　issue　of　passivity-based　finite-time　H-infinity　control　issue　for　an　affine　nonlinear　system　is　addressed　in　this　paper.　First,　a　finite-time　version　Hamilton-Jacobi　inequality　is　presented,　which　is　a　generalization　of　the　classical　Hamilton-Jacobi　inequality.　Then,　a　sufficient　condition　by　finite-time　passivity　is　provided　in　terms　of　a　storage　function,　which　enables　derivation　of　finite-time　stability　and　an　L-2-gain　level.　Moreover,　when　the　nominal　system　does　not　possess　the　finite-time　passivity　property,　a　control　strategy　based　on　finite-time　feedback　passivation　is　also　established.