The group were reportedly spotted heading to the Maldives where they stayed over the holiday period.
Paltrow shared a picture from the tropical location on Instagram, showing herself walking hand in hand with her new husband.
The 46-year-old previously garnered attention for a recent snap featuring her family's Christmas stockings, which included one for the Coldplay singer.
While Paltrow is open about the dynamics of her unconventional family, Martin and Johnson have been tight lipped about their year-long relationship.
"I'm not going to talk about it," the 50 Shades of Grey star said, according to E! "But I am very happy."