"We didn't reach an agreement - he's a great player, I met him and it's bad luck we didn't reach an agreement," Al-Khelaifi said on the sidelines of a news conference in Doha.
"We weren't far [from reaching an agreement], but there are family issues and I think that was the reason. It was very difficult to move the family."
"It's over. It's a shame. But the welfare of his family in Los Angeles, the wish not to change everything in his life, weighed heavily," said PSG Sporting Director Leonardo.
Al-Khelaifi told French radio station RMC the 36-year-old midfielder would stay in the United States, saying: "David Beckham is in Los Angeles and he's going to stay over there."
The Parisian club's new Qatari owners bankrolled a close-season spending spree of some 85 million euros, almost half of which went on snapping up Argentina international Javier Pastore from Palermo.
