The singer, 32, posted the clip to Instagram, which showed her pictured alongside the 47-year-old direcotr on the beach where they kissed and watched a fireworks display.
She captioned the clip, which featured a few seconds of the new song: "SURPRISE. I’M BACK! You Only Love Me XX/01/23 #RO3."
The star, who sports wavy locks and a large cross necklace as she kisses her husband while surrounded by others, is said to have been in St Barts to ring in the New Year.
It’s there she said to have posted the romantic clip.
Ora and the Oscar-winning New Zealander, Waititi, wed last August in an intimate ceremony in London.
"It was a really intimate ceremony and super special for everyone there. Their nearest and dearest can see how madly in love they are," a source told The Sun at the time.
They pair were first romantically linked in April 2021 and walked their first red carpet together at the debut of The Suicide Squad in Los Angeles.
In November, Waititi - who has directed films such as Thor: Love and Thunder, Thor: Ragnarok and Jojo Rabbit - revealed that actor Robert Pattinson had introduced them to each other.
He revealed that they had known each other for three years before they started dating in 2021.
He said on Louis Theroux’s Interviews series: "We’ve actually known each other for years, before we got together.
"Everyone thinks we met in Australia last year.
You know who brought her to my house? Rob Pattinson. He brought her over. I was having a little BBQ and we just got chatting, we hit it off, and became friends.
"Then for the next three-and-a-half years we were just good mates.
He continued: "We were in different relationships, and every time we hung out, we would just catch up where we left off, and it was a good friendship, and we decided to ruin it all.
"I just like the fact that we work hard, and we’ve both got our own jobs and independent, but are also best friends..."