The singer, 33, dated the model, 30, on and off for six years, with the pair welcoming five-year-old Khai together in 2020, before calling it quits the following year.
The star shared photos and video of the canine along with a long note and tributes from supermodel sister Gigi Hadid as well as her former reality TV star mother Yolanda Hadid.
The women were spotted heading to the exclusive Zero Bond in New York City on Monday, exuding an air of coolness as they headed to the members-only club.
Bradley Cooper is breaking my heart - not because he's reminding women over 40 that we're apparently past our sell-by dates by settling for no less a spindle of arm candy than Gigi Hadid.