Premier Colin Barnett believes authorities should be less hesitant about killing sharks which present a potential danger to the public.
Under new powers, the first "catch-and-kill" order was issued last week after several shark sightings in the South West.
Several large sharks considered a threat were repeatedly spotted near Eagle Bay, Meelup Beach and Bunker Bay, around 250km south of Perth.
The order was rescinded after the sightings eased.
But Mr Barnett said today that more of those orders should be made.
“I am no expert, but it does seem to me that the shark population has increased, I think most fishermen are of that view,“ Mr Barnett told ABC Radio.
“We have brought in a protocol that if a shark is presenting an imminent danger it can be taken, and that was attempted down on the south coast.
“I am not for having a cull, but I think the public is of the view that if sharks are hanging around areas where people are swimming, particularly children, if they are judged to be a threat they should be taken.
“I am on the side of being a little more aggressive about taking sharks. There is some hesitancy throughout the community - I am not that hesitant.”