Answering a question from a reporter on whether he was concerned about the recent spate of crashes involving cyclists and motorcyclists,
the Premier revealed the government car he was riding in almost hit a cyclist who rode "dangerously" down the middle of a street.
"Having watched a cyclist come down the middle of the road and miss the car I was in by a few inches, yes I am," Mr Barnett said.
He said, in this case, the cyclist was at fault.
But he said cyclists and motorists had a responsibility to be safe.