Western Australia's Premier Colin Barnett says members of the Sea Shepherd group will need to take a good look at themselves if their bid to stop the Government's catch-and-kill shark policy is successful.

The State Government has set baited hooks off metropolitan and south-west beaches following a spate of fatal shark attacks in WA.

Bull, tiger and great white sharks more than three metres in length caught on the hooks are shot dead and dumped at sea under the Government's policy.

Marine activist group Sea Shepherd is seeking a judicial review, claiming the policy was improperly introduced.

The group, together with the mother of shark attack victim Kyle Burden, who was killed while boogie boarding near Bunker Bay in 2011, were in WA's Supreme Court today to argue that the Government's process is illegal.

Their lawyer Richard Hooker applied for an injunction that would see all baited drum lines removed from the water until a judicial inquiry is heard.

Mr Barnett said he anticipated a legal challenge and maintains that the State and Federal Governments have followed the proper processes.

He says if Sea Shepherd's bid is successful and there is a subsequent shark attack, the group would need to reflect on its actions.

"I would think they would have to have a long, careful look at themselves," he said.

"The policy of catching large sharks in close proximity to popular swimming areas is something that I believe is justified in terms of public safety."

Justice James Eldeman is expected to make a finding tomorrow.

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