The 29-year-old actress avoided jail time in the case, with prosecutors dropping charges that Heard smuggled two Yorkshire terriers, Pistol and Boo, into the country, the Associated Press reports.
She and Depp, 52, appeared at a hearing at the Southport Magistrates court in Queensland, according to the AP.
Heard was given a one-month good behavior bond, NBC News reports.
The ordeal concluded with Heard and Depp issuing a video apology to the Queensland court on Monday. Barnaby Joyce, the Australian politician who initially threatened to euthanize the dogs, released the video on his Facebook page.
"I'm truly sorry that Pistol and Boo were not declared. Protecting Australia is important," Heard said in the video.
Depp added: "Declare everything when you enter Australia."
The Johnny Depp apology feels like a hostage video.— Ricky Gervais (@rickygervais) April 18, 2016
I've seen ISIS hostage videos with more joie de vivre than Johnny Depp's #WarOnTerrier apology.— John Johnsonson (@JohnJohnsonson) April 18, 2016
That Johnny Depp apology video... pic.twitter.com/8dPUZor4QU— Jason Tin (@jasonthetin) April 18, 2016
The video quickly garnered the attention of social media users who likened the footage to a hostage video.
"The Johnny Depp apology feels like a hostage video," comedian Ricky Gervais tweeted.
Another user wrote: "They keep showing that Johnny Depp and Amber Heard apology video on tv and every time I see it I feel more awkward and uncomfortable lmao."
Joyce even commented on the footage, telling an Australian ABC affiliate, "I don't think it'd be something that they would've willingly would've wanted to do."
Heard was initially accused of smuggling the dogs into Australia while Depp was filming the fifth Pirates of the Caribbean movie, the AP reports. Two illegal importation convictions could have sent Heard to prison for up to 10 years.