Specs for the 2000-2006 Tiburons show they weren't ever equipped with HID's from the factory. Chances are good what's on there is a cheesy (and illegal) aftermarket "HID conversion" kit, either the "fake HID" with superwhite halogen bulbs and/or a relay, or a "real" fake HID kit with HID bulbs grafted onto halogen housings. A *REAL* HID kit has the ballasts, and the HID bulbs from a brand name manufacturer like Philips. You can stick 'em in the halgen housings, but they usually don't do too well, at least not without dangerously blinding other drivers.
My suggestion would be to pull the bulbs and see what you've got. If they are halogen bulbs, and the "HID" kit wiring is just a relay, go ahead and replace the bulbs with some real ones like Sylvania XtraVision or Philips Hi-Visibility. If they are real HID bulbs, you'll need to get the number off the bulb/base and probably have to get them online, unless you have a parts store that will special order for you.