The couple, who tied the knot last month in an intimate Jewish ceremony, jetted out to Turks and Caicos in the West Indies at the beginning of the month for a romantic break, reported Contactmusic.
"This break was very precious to them, even though it was brief. It's typical of them - even their honeymoon was a whirlwind. They used the time to be together. No work, no business calls.
"Natalie and Ben are the hardest working people. Even before the baby came along, they were non-stop so you can imagine how exhausted they've been since Aleph was born," a source said.
The family blended in with other holiday makers and spent most of their time playing and relaxing on the beach.
"Natalie and Benjamin enjoyed a romantic moment as they headed out towards the horizon together. They just kept kissing and looked really in love," the source added.