The group has been blamed for a bombing that killed 15 people in southern Davao city, Duterte's hometown, last September and a number of attacks on government forces in Lanao, although it has faced setbacks from a series of military offensives.
"While we value the need for transparency and the people's right to information, release of certain pieces of information, whether accurate or inaccurate, can affect national security and regional peace and stability", the DFA said in a released statement.
Authorities provided no details of civilian injuries and casualties, but said at least 31 soldiers were wounded in the attempt to rescue the hostages and escort civilians to safety.
Authorities have not reported any civilian casualties but the GMA television network showed images of nine people who had apparently been shot dead.More news: Game 7 offers chance at history for Penguins and Senators
Mr Duterte said on Wednesday that one of the policemen killed was caught at a checkpoint set up by the militants, before being beheaded.
The fighting erupted on Tuesday after security forces raided a house where they believed Isnilon Hapilon, a leader of the infamous Abu Sayyaf kidnap-for-ransom gang and Philippine head of IS, was hiding.
The extremist leader of the infamous Abu Sayyaf gang is regarded by the USA as one of the world's most risky terrorists due to his penchant for kidnapping and beheading westerners.
The raid went spectacularly wrong as dozens of gunmen emerged to repel the security forces, before going on a rampage across the city while flying black ISIL flags.More news: Beyond Good & Evil 2 Probably Won't Be at E3 Next Month
They also set fire to many buildings, including a church and a university.
In response, Duterte not only interrupted his trip to Russian Federation and declared martial law in the island of 22 million people - he suggested the possibility of expanding martial law nationwide.
"Anyone now holding a gun, confronting the government with violence, my orders are spare no one, let us solve the problems of Mindanao once and for all, " Duterte said Wednesday.
Almost a third of the country's population lives in Mindanao, a huge mostly Muslim island in a country dominated by the Roman Catholic faith.
Mr Duterte had said that it could take up to a year before martial law in Mindanao could be lifted, if such a length of time was required to stop terrorism in that country.More news: Trump orders investigation of leaks related to Manchester terror attack
But human rights groups and others have expressed fears that martial law powers could further embolden Duterte, who already has been accused of allowing extrajudicial killings of thousands of people in his crackdown on illegal drugs.
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