And while Jared is expected to arrive in Israel next month for the inauguration of the new US Embassy in Jerusalem, Joshua, 32, and Kloss, 25, have been touring the sites this week.
On Sunday, Kloss posted a photo of a view from the Dead Sea.
"Feeling especially connected to this big beautiful 'globe' on #EarthDay," she wrote. "Floating in the Dead Sea, the lowest point on dry land!" On Monday she added a photo of herself in Jerusalem. Kushner has also been sharing a few photos on Instagram, including a couple of snapshots from around Jerusalem, with one featuring Kloss.
The pair have been dating since 2012, but are notoriously tight lipped about their relationship.
In an April interview in Porter magazine, Kloss said "I just really like having a more private private life. I've got nothing to hide, though!"