Named after frontman Jon Bon Jovi, the band raked in £126 million during the tour, which was seen by 2,178,170 people.
Rock legends The Rolling Stones topped Billboard's Top 25 Tours of 2013 list for the British acts, coming in at number six after grossing £77.5m and drawing 326,998 fans to their 23 sell-out shows.
Other British, or part-British bands, to make the list included Depeche Mode at number nine, Pink Floyd's Roger Waters (11), boy band One Direction (12), The Beatles' Paul McCartney (16), Fleetwood Mac (17) and heavy metal band Iron Maiden at 25.
Cirque Du Soleil's Michael Jackson The Immortal World Tour, P!nk, Bruce Springsteen & The E Street Band and Rihanna rounded out the top five.
Pop stars Taylor Swift (7), Justin Bieber (13) and Lady Gaga (22) all made the cut. American country music singers also featured prominently, with Kenny Chesney at 10, Jason Aldean at 21 and Luke Bryan at 24.
Dutch violinist Andre Rieu, who appeared in Glasgow last week, was the only classical musician on the list, claiming 20th spot after raking in £30.7m during his 70 performances.