The '12 Years a Slave actress', 31, and the Somali-born rapper, 36, hit up Italian eatery Dino, a restaurant in Brooklyn's Fort Greene neighborhood, reported Us magazine.
There they dined on soup (his) and salad (hers), while sipping speciality cocktails from the bar.
"They looked very much in love and not afraid to show it. The two kissed and held hands throughout dinner," a source said.
The lovebirds are yet to make their red carpet debut as a couple.