The proud parents, who welcomed Axl six weeks ago on 29 August, enjoyed a family day out with Fergie's parents as they picked grapes for the harvest.
In one snap, Transformers actor Josh is seen clutching a branch of the fruit while craddling Axl, who is wrapped up in a warm blanket.
Captioning the photo, Josh said: "I'd prefer a nice bottle of milk."
Meanwhile, Black Eyed Peas star Fergie was all smiles as she picked grapes at the family's vineyard, located in Californian wine region, Santa Ynez Valley.
In one photo, Fergie held up a huge bunch of grapes as she posed alongside Josh, who tried to shield the sun away from his eyes by wearing a cap.
Fergie, 38, who looked in her element picking grapes, said: "Out with the boyz grape picking."
In another cute photo, Fergie's dad Pat is seen holiding baby Axl in the yard. Looking like a proud grandad, Fergie said: "Grampas favourite bundle of grapes in the vineyard."