Barnett said his Government would consider easing restrictions on the number of sharks professional fisherman could catch and culling large great whites that lurk close to swimming areas.
The Government was also looking at providing surf lifesaving clubs with more equipment to help them to protect people in the water, andhad increased shark patrols.
Barnett said he believed shark numbers had risen.
Scientists say that sharks are also now bigger. Professor Shaun Collin from the University of Western Australia's Oceans Institute, said: "There's no doubt that the bans have allowed the sharks to grow to greater maturity."
He thinks removing them from the protected list would be a mistake. "The big question is why there have been so many attacks in the past year. There's been something about Western Australia in that time that has brought them closer and that's what we need to find out."
- AAP, Observer