The 26-year-old actress shared the news on Instagram by posting a picture of herself and Ackerley, who she has been dating for three years.
The image of the couple is blurred out apart from Robbie's left hand which features the wedding ring, which she is pointing towards the camera.
According to the reports the couple tied the knot in Coorabell, near Byron Bay, where around 50 guests were in attendance.
The pair are said to have got engaged over the summer and managed to keep it a secret.
Attendees at the nuptials included the Robbie's brothers Lachlan and Cameron, and her sister Anya.