[4] On September 10, 1976, she, her husband, and three others hijacked domestic Trans World Airlines flight 355 departing from New York for Chicago, using the threat of a bomb.

While refueling the hijacked plane at Montreal's Mirabel International Airport, they told officials that they had planted a bomb in a locker at Grand Central Terminal and gave them instructions on finding it.

[7] During the hijacking the device at Grand Central Terminal was found and taken to Rodman's Neck Firing Range where police attempted to dismantle it rather than detonate it.

Zvonko and Julienne Bušić were convicted of air piracy resulting in death, which carried a mandatory life sentence with parole eligibility after 10 years.

[4][5][10] During and after her stint in prison, Bušić corresponded at length with Kathleen Murray Moran, the wife of the bomb squad member killed during the incident.

[22] In January 2020, she took part in a controversial Croatian Democratic Union ad to support the re-election of Kolinda Grabar-Kitarović as the President of Croatia.

[24] Her second book, Your Blood and Mine (2008), is an extended commentary on the American federal prison system, as portrayed by her letters to Zvonko throughout his 32-year incarceration.