Woods and Vanessa Trump, who was previously married to Donald Trump Jr., were seen at Torrey Pines in San Diego with their daughter, Kai, when Woods arrived for the final round to present the trophy to the winner of the Genesis Invitational, where he was hosting the tournament.
Kai Trump attends Benjamin school along with Woods' two children, Sam and Charlie. She and Charlie competed in a junior golf tournament this week.
"Love is in the air, and life is better with you by my side! We look forward to our journey together through life," 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 posing together, another with them lying on a hammock, his arm over her chest as he looks up at the sky.
Woods and Vanessa Trump have been the subject of gossip media attention in recent weeks. She was married to Donald Trump Jr. for 12 years. They had five children together.
Woods announced on March 11 that he had torn his left Achilles tendon, which left him out of the Masters and likely for the rest of the year.
It was unclear what prompted Woods, who keeps his personal life very private, to post photos confirming the relationship. In 2013, he and Lindsey Vonn posted photos together to confirm they were dating.
Woods said at that time that he and Vonn "wanted to limit the 'stalkarazzi' and all those nasty websites following them," saying it could lead to dangerous situations involving their children. He also said their photos would devalue anything the paparazzi had.
Woods has two children from his marriage to Elin Nordegren, who divorced him in 2010 after multiple extramarital affairs were exposed.
His only other public relationship was with Erica Herman, which lasted about seven years until he ended it in October 2022. It was a messy breakup, and Herman eventually dropped lawsuits against Woods and the trust that owns his property in South Florida, where she had been living.