UK foreign secretary Boris Johnson tweeted that he was "very concerned" by the events in Turkey and said the British Embassy was "monitoring the situation closely".
More than 2.5 million Britons visit Turkey every year.
"The situation now appears quieter in Istanbul, and the bridges across the Bosphorus are re-opening. But there are reports of tank fire and small arms fire in Ankara. Some flights to airports in Turkey are being diverted or cancelled," the latest advice from the Foreign Office reads.
"If you are due to travel to or from Turkey over the next few days, you should closely monitor our travel advice and check with your airline or tour operator before travelling."
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Some flights from Britain to Turkey have been diverted or cancelled and those due to travel should check with their airline or tour operator.
UK holidaymakers in Marmaris town in Turkey have described hearing gunfire in the streets and an explosion.
Among those affected from the UK include 41 students and seven members of staff from the Arthur Terry School in Birminghamwho are stranded at Istanbul airport, where they were due to get a connecting flight to South Africa.
The school said in a statement that its students are safe and being accompanied by both the staff and a member of the British Embassy.
The attempted coup, which now appears to be over, began on Friday evening when tanks took up positions on two bridges over the Bosphorus Strait in Istanbul, blocking traffic.