Australia plans to strip citizenship from Australian-born children of immigrants who become Islamic State fighters in its crackdown on homegrown jihadis.

Immigration Minister Peter Dutton told Sydney Radio 2GB on Thursday that his government wants to change the Citizenship Act to make fighting for the Islamic State group in Syria and Iraq a reason for losing citizenship,.

He says the government also wants to adopt the British legal model by revoking the citizenship of extremists who are Australian-born children of immigrants or an immigrant, forcing them to take up citizenship in the birth country of their parents, or parent.

Australia can currently only revoke citizenship in cases of fraud in the citizenship application or where an Australian citizen joins the armed forces of another country to fight Australia.