Fisheries officers are monitoring waters off Dunsborough where the first order to catch and kill a shark has been made as part of new guidelines introduced in November.
Lines which have large hooks on and are anchored in the water were initially set on Sunday catch a shark or sharks which have been seen repeatedly off beaches in Dunsborough.
Multiple sightings of a great white shark about three to four metres have been made in the area in the past week.
The most recent sighting was at 3.45pm on Tuesday, when a shark fitting that description came within 15 metres of the shore at Eagle Bay.
Lines were set following the sighting and remained in the water until nightfall.
Fisheries Department shark response unit spokesman Tony Cappelluti told ABC Radio that a 1.8-metre tiger shark was caught but released.
"It wasn't the shark we were considering to be a high hazard," he said.
This is in addition to a two-metre tiger shark that was caught and released on Sunday when the lines were set.
Mr Cappelutti said a vessel carrying fisheries officers would remain in waters off Dunsborough for the remainder of the week to monitor shark activity.
They will regularly assess the situation and whether or not to redeploy lines.
As well as a number of non-fatal attacks in Western Australia, five people have been killed by sharks in the state since September 2011.