Interestingly, Lopez tagged Ellen DeGeneres in her post of the photo.
The pair, dubbed "J-Rod", first appeared on the red carpet as a couple at the Met Gala in May 2017.
The couple, who have been dating for a little over two years, has been posting photos from their tropical getaway over the weekend in Bakers Bay, according to E!
In January, Rodriguez said that he and Lopez had similar backgrounds and now "are in our 40s and trying to live the best lives possible".
The superstar couple surprised their fans with his-and-hers Instagram posts, both featuring the same image - of J.Lo's hand, her ring finger bearing a giant sparkler, clasped in A-Rod's hand.
The pop star and three-time American League MVP have been dating for around two years and recently attended the 91st Academy Awards together in late February. Each has two children from previous marriages. Jennifer shared the fantastic news on her Instagram by posting a pic of the enormous engagement ring that Alex gave her.