In an interview with Fox News Channel's Sean Hannity, Cheney said holding the trial in a lower Manhattan courtroom near ground zero will make Mohammed "a hero in certain circles, especially in the radical regions of Islam around the world."
Cheney said the trial will put Mohammed "on the map."
The Republican called Attorney General Eric Holder's decision in November to try Mohammed and four other 9/11 suspects in a civilian federal court near ground zero "a huge mistake."
The interview, for which Fox News provided a partial transcript, aired Tuesday.