Kering — the French fashion conglomerate that owns Gucci — is enlarging its bet on Soho.

Alexander McQueen, one of Paris-based Kering’s top-shelf labels, has leased 6,600 square feet on two levels at 71 Greene St. between Spring and Broome streets, The Post has learned.

The new McQueen store will be located across the street from Kering’s Yves Saint Laurent store at 80 Greene, while Kering’s Gucci store is nearby at 63 Wooster St.

Alexander McQueen currently has a flagship half that size at 747 Madison Ave. where it relocated from the Meatpacking District after signing a 15-year lease in 2013.

It couldn’t immediately be learned when the new store is slated to open. Reps for McQueen and Kering, formerly known as PPR, didn’t immediately respond to requests for comment.

The fashion house was founded by the late Lee Alexander McQueen in 1992. His bad-boy reputation and flamboyant togs made him a hit with celebrities. A majority stake was bought by then Gucci Group in 2000 and he became its creative director.

A men’s line and branded stores followed along with numerous collaborations and accolades but there were controversies as well. He was even sued by the Hells Angels over the wings logo.

McQueen killed himself in February 2010. Months later, the Metropolitan Museum of Art honored him with the exhibition “Savage Beauty.” The brand’s current creative director, Sarah Burton, designed Kate Middleton’s dress for her 2011 wedding.

Michael O’Neill, Jason Greenstone and Taylor Reynolds of Cushman & Wakefield represented the tenant which also has a flagship at 747 Madison Ave. at E. 65th St.

The retail space was represented by Roy Dervich of Breakwater Holdings. The building’s Esquire Management declined comment while the other companies did not respond to calls or emails for comment.

Rents have stabilized along the City’s luxury fashion corridors that remain popular with shoppers providing brands with opportunities to cut favorable terms.

No pricing was available for the new store but average asking rents along the main Broadway shopping area have retreated to a range of $300 to $900 per foot, a new Real Estate Board of New York spring retail report says with an average in the mid-$500s per foot.

The Cast Iron building has residential rental lofts above the store and historical details that include the charming glass discs embedded in its entry stairs that allow light to reach the lower level.