The Los Angeles Times said the video is only 10 minutes long but gives fans a rare look at Jay-Z and Beyonce acting like a typical couple enjoying a quiet and fairly romantic dinner.
The video is a mini-documentary on the making of "Watch the Throne," a joint West and Jay-Z project. The action takes place at a Down Under estate that served as their headquarters.
In another slightly more offbeat scene, West presents Jay-Z with a large ring that is used to affix sealing wax to letters, much like European nobles used to sign their documents and dispatches centuries ago.
The Times said Beyonce is seen showing her man how the emblem on the ring is dipped in hot wax to form a seal, an apparently rare example of the interaction between two people who have kept their relationship largely hidden from their fans.