The driver had got himself out of the truck, she said.
A police spokeswoman said the driver suffered only minor injuries but the road would need to be closed to remove the truck from the scene.
The road remained closed at 5.15pm and was likely to remain that way for at least another hour.
Police also advised motorists to avoid the area, along with the Desert Rd, as both roads remain closed.
The driver in the SH1 crash was not injured but a veterinarian was on the scene to help with the injured animals.
The truck's trailer was still blocking the road at 5.15pm.