Emilie didn't share the picture until Sunday, five days after Jeff popped the question. She later also posted snaps which showed the couple celebrating with teh backdrop of a sunrise at Haleakala volcano, and included the hashtag #soulmates.
On Instagram, Emilie also shared a shot of her gorgeous engagement ring.
Another picture on the social media site Instagram showed the adorable couple larking around in their hotel swimming pool, which Emilie captioned: "We are each other's gifts! Love my baby SO much!!! #jeffgoldblum #emilielivingston #love."
Jeff, who starred alongside Will Smith in Independence Day, has been married twice before, to Patricia Gaul and Geena Davis.