The two exchanged vows in southern California on April 12, reports femalefirst.co.uk.
The singer, who previously dated socialite Paris Hilton, married his fiancee Kitt after he proposed with a seven-carat pear-shaped diamond ring in February 2013.
The couple hosted an Arabian-themed rehearsal dinner on April 11.
The 34-year-old's bandmate A.J. McLean also posted a photograph of himself on Instagram with the caption: "Chillin at the house getting ready to head to the rehearsal dinner of the wedding most of you thought would never happen but I'm so happy it is finally! Congrats to my little brother for growing up and finding love. So proud of you brother".
Carter's bandmate Howard Dorough was also present at their nuptials.