Construction work on the $1.86 billion project, which will modernise, upgrade and connect Terminals 2, 3, and the Tom Bradley International Terminal (Terminal B) at LAX, is expected to begin this autumn.
"Our vision is a gold-standard airport, and one of our strategic plan goals is delivering exceptional facilities and experiences at the same time," said Flint.
"And even though that is no easy feat, I am confident that with the team at Delta and the partnership we have, that we can achieve that vision."
Yesterday's announcement follows the Los Angeles Board of Airport Commissioners' (BOAC) recent approval of the largest tenant improvement award in its history, which cleared the way for the Delta Sky Way at LAX to begin.
Flint was joined at LAX to celebrate the occasion by Los Angeles Mayor, Eric Garcetti; Delta CEO, Ed Bastian, LA City Council member, Mike Bonin; and BOAC president, Sean Burton.
"Los Angeles is constantly reaching new heights, and today's project launch creates jobs and forges global connections," said LA Mayor, Eric Garcetti.
"The modernisation of Terminals 2 and 3 is an investment in our economy and people, and Delta's partnership is helping to accelerate an era of growth and innovation in Los Angeles."
While Delta's Bastian noted: "Nearly 10 years ago, we made a commitment to be LA's premier, premium airline. Today, LAX is one of the most important hubs in our network where we operate more than 170 daily flights and connect more passengers to our partner airlines than anywhere else in the U.S.
"The Delta Sky Way at LAX project is a once-in-a-generation opportunity to invest in and transform the airport experience in partnership with LAWA and the City of Los Angeles.
"Delta is excited and proud to be leading the way not just in LA but in our hubs across the country, with more than $12 billion in airport infrastructure investments in progress over the next few years."
Delta and LAWA also released new renderings of the facility, which show the interior and exterior of the shared 'headhouse' of Terminals 2 and 3; the interior, secured side of Terminal 3; and the connector between Terminal 3 and Terminal B, among other perspectives.
When completed, according to LAWA, the modern facility will offer more security screening capacity with automated security lanes, more gate-area seating, and a "world-class concession programme" in partnership with Westfield Corporation, in addition to all the amenities that Delta's customers have come to expect at LAX".
These will include the Delta ONE at LAX check-in space, new Delta Sky Club; and the integrated in-line baggage system.
Delta has invested more than $7 billion in airport projects since 2006, and along with its airport partners, it will be involved in an additional $12 billion worth of facilities infrastructure projects in coming years, including improvements at several of its key hubs in Atlanta, Los Angeles, New York, Salt Lake City and Seattle.