Olivia Wilde praises Harry Styles as pair pose in first social media picture

Olivia Wilde and Harry Styles with the cast of Don't Worry Darling, which just wrapped shooting. Photo / Instagram

Olivia Wilde has praised her rumoured boyfriend Harry Styles, as the couple posed in their first social media photo together.

Weeks after they fuelled dating rumours when they were seen holding hands at a wedding, the 36-year-old US actress has posted a gushing tribute about the former One Direction singer as the pair celebrated wrapping filming on their movie Don't Worry Darling.

Wilde directed the psychological thriller while Styles, 26, plays the male lead alongside Little Women star Florence Pugh, 25.

Taking to Instagram with a black and white portrait of Styles sitting on a car, Wilde said it was "hard" to find male actors who were willing to star in female-led stories like Don't Worry Darling.

"The industry has raised them to believe it lessens their power [i.e financial value] to accept these roles, which is one of the reasons it's so hard to get financing for movies focusing on female stories," Wilde wrote.

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"Enter: @harrystyles, our "Jack". Not only did he relish the opportunity to allow for the brilliant @florencepugh to hold center stage as our "Alice", but he infused every scene with a nuanced sense of humanity.

"He didn't have to join our circus, but he jumped on board with humility and grace, and blew us away every day with his talent, warmth, and ability to drive backwards."

It is the first time Wilde has talked about Styles since reports they were dating.

The New York Post reports their relationship is getting serious, after Wilde was seen moving several suitcases from her home she shared with ex-fiance Jason Sudeikis and into Styles' Hollywood Hills house on Valentine's Day.

Wilde split from Sudeikis, whom she was with for nine years and shared two children with, last year.

The couple were engaged in 2013 but were never married.

Styles has had a string of high-profile relationships, including with US supermodel Kendall Jenner and pop star Taylor Swift.