The move followed a pitch that also involved roster agencies Publicis London and Euro RSCG.
The drinks group, which spent $14m on media in the US according to Nielsen data, is preparing to relaunch the coffee liqueur across the globe. It is understood that Kahlua's advertising has been dormant for the last couple of years.
Omnicom Group's TBWA\Chiat\Day office takes over the account, which will be managed by account director Lyndsey Corona. It becomes responsible for all Kahlua's global advertising.
TBWA handles a number of Pernod-Ricard's brands, including Absolut, Martell and Jameson.
Mathias Westphal, Kahlua's global marketing director, said in a statement: "TBWA\Chiat\Day New York has a proven ability to help reshape brand on a global scale ... [It was] key to our decision to appoint them as global communications agency for Kahlua."
Publicis London works on a number of Pernod-Ricard brands and was last year appointed to manage the group's £25m global Malibu account.
Kahlua was originally created in Mexico in 1936. It is operated and marketed globally by Pernod-Ricard's Absolut division.