They collaborated together on Branch's 2017 album, "Hopeless Romantic."
The Grammy-winning musicians tied the knot Saturday at the Marigny Opera House in New Orleans in front of close friends and family, a representative for Carney told The Associated Press on Sunday.
Among those attending the wedding were the couple's 7-month-old son, Rhys, and Branch's 13-year-old daughter from a previous relationship, Owen.
Branch, 35, wore a dress by Temperley London and walked down the aisle to Elvis Presley's "I Can't Help Falling In Love With You," performed by The Symphony Chorus of New Orleans.
Carney, 39, wore a Burberry suit.
The couple began dating in 2015. They collaborated together on Branch's 2017 album, "Hopeless Romantic."
Branch's hits include "All You Wanted," ''Everywhere," ''Are You Happy Now?" and "The Game of Love," with Santana.
The Black Keys, which includes singer-guitarist-producer Dan Auerbach, have a string of rock hits including "Lonely Boy," ''Tighten Up" and "Fever."
Beyonce was named entertainer of the year at the 50th annual NAACP Image Awards that highlighted works by entertainers and writers of color.
The Bey Hive was feeling the love Friday over Beyonce's release of the album "The Lion King: The Gift," which the pop queen dropped as a sister piece to her new film, a remake of the Disney classic.
Former U.S. President Barack Obama sent a letter, Stevie Wonder sang, and Snoop Dogg called slain rapper Nipsey Hussle a "peace advocate" at a Los Angeles memorial on Thursday attended by family members, friends and thousands of fans.
Following the actress' death in 2011 at age 79, a week-long Christie's auction in New York of her vast collection of luxury dresses, jewels and fine art saw total sales topping $156 million.
The painting, which features a rich array of colours from teal to bright white, depicts an international friendly match between Sweden and France in 1952 during a golden generation of French football players.
The album has a number of collaborations with fellow artists such as Jamie Cullum, Bryan Adams and Rod Stewart. Perhaps one of the more unexpected names to appear on the tracklist is boxing champion Tyson Fury.