The Welshman has agreed a two-year deal with Hibs after helping Caley Thistle to their highest-ever finish in the SPL.
He feels, at the age of 28, that the time is right to take on a new challenge and test himself at Easter Road.
Tudur Jones told the Daily Record: "Hibs are a massive club but there is also a history of under-achievement and that is something I hope to help rectify.
"The initial ambition is to finish in the top six but regardless of history, stadia and crowds you have to work hard to achieve anything in the SPL.
"The move to Hibs is a fresh challenge and one I'm really excited about. Throughout my career I've chased new challenges and not wanted to stand still and this is a new experience for me.
"Staying in Inverness has been an absolute joy and now I can't wait to move to Edinburgh and begin a new chapter in my career."