A Muslim group has complained to the Australian Federal Police for using the term 'Islamic-inspired terrorism' to describe an alleged plot to bomb a passenger plane.

AFP Commissioner Andrew Colvin used the phrase late last month when asked by a journalist if the four men arrested across Sydney were connected with ISIS.

'We do believe it's Islamic inspired terrorism,' he told reporters as he stood next to Prime Minister Malcolm Turnbull.

'Exactly what is behind this is something that we will need to investigate fully,' Commissioner Colvin told reporters.

Three of the four men arrested during the raids have since been charged.

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