Tiger Woods took the unusual step of confirming his romance with Vanessa Trump, ex-wife of Donald Trump Jr, with a post on social media on Sunday. REUTERS

Tiger Woods has confirmed his relationship with the former daughter-in-law of US President Donald Trump, publishing two images to social media in a post that said: "Love is in the air."

Woods and Vanessa Trump, who was married to Donald Trump Jr, had been seen at Torrey Pines in San Diego along with her daughter, Kai, when Woods arrived for the final round to hand out the trophy to the winner of the Genesis Invitational. He is the tournament host.

Kai Trump goes to the Benjamin School with Woods' two children, Sam and Charlie. She and Charlie competed by invitation at a high-profile junior golf tournament last week.

"Love is in the air and life is better with you by my side! We look forward to our journey through life together," Woods said on X, where he has 6.4 million followers.

He added: "At this time we would appreciate privacy for all those close to our hearts."

One photo shows Woods and Vanessa Trump lying in a hammock with her arm draped across his chest as he gazes skyward.