No. The Xbox 360 doesn't have anywhere to plug in classic Xbox controllers, and no adapters are available for such a purpose. For a little additional detail regarding Xbox-and-360 interfacing, check out the inverted problem - "Can xbox 360 controllers be used on an old Xbox?", in the related questions.
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I have been searching the forums and i have not found any way that they can be used. Then again with the new controllers being so much better why would you want to use the old one? I have a couple left over myself but so far I haven't found a use for them.
no the original XBOX has a differect connection than the XBOX 360's usb connection and it also uses 2 different buttons. (Right Bumper/Left Bumper)
No because the bit that you stick into the console is differs than that of an XBOX 360 controller!