The couple were holidaying in Hawaii when the 61-year-old actor proposed in the couple's favourite shop.
Emilie, 31, a former Olympics rhythm gymnast who describes herself on Twitter as an aerialist, contortionist, and actress, tweeted a snap of the two hugging, taken minutes after she said yes.
"Jul 8 he proposed @ our fave . I was taken over by tears of joy n ecstasy! We picked the ring 2gether " she tweeted alongside the picture.
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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.