Until recently, the hardline group used such apps to chat with members and supporters outside its main areas of control in Syria, Iraq and Libya -- including, say French officials, the assailants who staged attacks across Paris a year ago, killing at least 130 people.
A U.S.-led military coalition has been bombing Daesh positions since 2014, when the group proclaimed a caliphate in Syria and Iraq. Twenty commanders of the group were killed this year, including spokesman Abu Muhammad Al-Adnani.
"If you get onto the programs like WhatsApp and Telegram or others from Mosul, and get in touch with a person being tracked, the crusaders will start thinking about you ... assessing your importance and identifying the locations of Daesh centers by following you," said an article in the group's weekly newspaper, Al-Naba, published online.
The new instructions came as the group tries to fight off a U.S.-backed offensive on Mosul, its last major stronghold in Iraq, by far the biggest city it controls.
Daesh members already avoid communicating directly with each other on Twitter, which they used 2-3 years ago to spread their ideology and attract new followers.
The group has used Telegram, a messaging service, but its account has become a lot less active. While Telegram offers private messaging, its main use to Daesh militants has been as a distribution tool to share propaganda with backers to repost on Twitter for the wider world.
Pro- Daesh sites on Telegram frequently remind readers that Telegram is for sharing messages only among supporters, and “not a media platform for (preaching) to all Muslims and the West”, in other words for recruiting sympathizers to join their cause.
Dozens more alternative messaging apps exist, offering various degrees of anonymity and security, but the phones required to use them are seen as increasingly risky possessions.
Al-Naba called on the militants to shut down their mobile phones before entering any of the group's bases to avoid exposing them to air strikes by the U.S.-led coalition.
"Switch off your phone after you finish your communication and beware of the greatest disobedience of all - switching it on when your are in one of the offices," it said. "As long as it has power, the phone is spying on you."
In Mosul, Daesh is cracking down on communication with the outside world to prevent residents from helping the forces advancing on the city, executing people for using mobile phones. Earlier this year, it confiscated satellite dishes to prevent people from seeing the progress made by the Iraqi army.
Daesh has executed 42 people from local tribes, caught with SIM cards, Iraqi intelligence officers said last month. This could not be independently confirmed.
WhatsApp bars Daesh supporters for a litany of violations of its terms of service. But identifying violators in private conversations is difficult since the Facebook-owned company implemented strict end-to-end encryption earlier this year.
Telegram, which has a long history of anti-censorship battles with governments around the world, says its policy is to block terrorist channels open to the public, and other illegal public content. Private communications between individuals are not blocked on the service, as these conversations are also encrypted.
Despite the company's ban, this week pro- Daesh Telegram channels claimed responsibility for a knife attack at Ohio State University and detailed Daesh fighters' plans in the Philippines to expand into southeast Asia.