The musician decided to part with his instrument in order to raise funds for the victims of Hurricane Katrina.
The Edge is the co-founder of the Music Rising organisation which replaces musical equipment that was lost or destroyed in the hurricane.
The guitar will be one of 200 items that will be up for auction at the Icons of Music auction, which ends on April 21. Among the other items will be a saxophone autographed by former American President Bill Clinton, and a music contract signed by Elvis Presley.
Hurricane Katrina hit the southern United States in August of 2005, killing 1,300 people.