The Department of Fisheries says it will spend the remainder of the week monitoring popular South West beaches for sharks recently sighted in the area.

Several large sharks were spotted around Bunker Bay and Meelup Beach, prompting the Director General of Fisheries to issue the state's first kill or capture order.

Tony Capelluti from the Department of Fisheries has told ABC's morning program officers are yet to capture any sharks which they believe pose a serious risk.

"We will stay there again today and our intention is to leave our vessels there particularly a large vessel for the rest of the week and into the weekend," he said.

"It will all be dependent on sightings and patterns of behaviour if the shark comes back over the next few days."