All together now, let's hear it—awwwww.
The tyke is dressed in a onesie and appears to be fast asleep (with his finger up his nose), while mom holds him.
What did dad have to say about his boy?
Bellamy, a rocker for the band Muse, wrote: "Family life!" as the caption for the picture.
Hudson gave birth to the 7-pound, 12-ounce baby on July 9. It was the Something Borrowed star's second child. He joins older brother Ryder Russell Robinson, 7, Hudson's son with her ex-husband, Black Crowes frontman Chris Robinson.
As for baby Bingham's name, Bingham is Bellamy's mom's maiden name and Hawn is Hudson's movie-star mom Goldie's last name.
Hudson and Bellamy met last year at a music festval and announced their engagement in January.