The 49-year-old actress shocked Momoa by visiting the Aquaman set with their children, 10-year-old daughter Lola and 8-year-old son Nakoa-Wolf, after the actor turned 38 on Aug. 1.
"I have never been so surprised in my life," Momoa captioned a photo with his family Thursday. "38 is the greatest to date. I love u my loveeee my babies my friends and OHANA to my cast and crew. Mahalo for caring. It was so beautiful."
"Mahalos to all the warriors It was an honor. #mindblown #roots #connected #mytribe aloha j," he added.
Momoa has been filming Aquaman in Queensland, Australia, since May. He asked photographers for privacy in an Instagram post the next month after reuniting with his family during a break in filming.
"Thank god for all my blessings Finally with my OHANA," the star captioned a picture with his children. "Please please please. Australia Paparazzi Let me papa bear with my babies #drogoissleeping Mahalo for the respect Aloha j."
Momoa and Bonet welcomed Lola in July 2007 before marrying in November that year. The actor told The Hollywood Reporter in January that he's grateful for Aquaman because it's led to more opportunities to provide for his family.
"I haven't been an actor who's been able to pick and choose roles, and being a family man, it's been about putting food on the table," he said. "This has been the best moment of my career because the superhero roles are letting me get the other roles I want."
Momoa is also known for playing Khal Drogo on the HBO series Game of Thrones and Declan Harp on the Netflix drama Frontier. Aquaman co-stars Willem Dafoe and Amber Heard, and opens in theaters in December 2018.