Electronic devices such as laptops and tablets, must be placed in checked-in baggage on flights to the US or UK, from today.
Mobile phones and medical devices, however, will be allowed in the cabin.
The US ban affects nine airlines from eight countries: Turkey, Morocco, Jordan, Egypt, the United Arab Emirates, Qatar, Saudi Arabia and Kuwait.
The British ban , meanwhile, targets flights out of Egypt, Turkey, Jordan, Saudi Arabia, Tunisia and Lebanon.
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This has pushed Turkish Airlines to find a solution for its passengers travelling through and from Turkey to American and British cities.
People who are not comfortable seeing their electronic devices checked in their luggage will be able to use them in the lounge and then hand their devices to Turkish Airlines officials at the boarding gate.
The officials will tag the devices and put them in a special secure cargo area.
The special cargo containing the devices will be handled at the arrival destination by authorised airline personnel and distributed at the luggage reclaim area to owners providing their tags.
Passengers flying with Turkish Airlines will also be given internet access onboard its flights to destinations implementing the ban.
There has been criticism of the electronics ban, with some people pointing out that many insurance companies will not insure expensive items such as laptops if they are not kept with the passenger.
By providing its new service from Istanbul Ataturk Airport, Turkish Airlines offers a "safe and secure method of carrying electronic devices in a special area in the cargo hold of the aircraft", the airline said.
The airline offers the service to transit passengers too.
Meanwhile, Tunisia has summoned the British ambassador to the country to protest the "unjustified" ban on electronic devices on flights to the UK.
The foreign ministry's head of European affairs, Mohamed Mezghani, told ambassador Louise de Sousa that Tunisia was "surprised" it had not been told about the ban before it was announced.
Mr Mezghani said the ban was "unjustified and does not reflect the security situation in Tunisia".
He also said that a 2016 report by the International Civil Aviation Organisation had described airports in Tunisia as among the "safest" in the world.