"The foreign secretary confirmed that a number of British nationals remained unaccounted for," the foreign ministry said in a statement.
A ministry spokesman declined to specify how many Britons were missing.
In a phone call to his Philippine counterpart Albert del Rosario, Hague offered his condolences in the wake of the devastating Super Typhoon Haiyan of November 8 and asked for "every possible assistance" to be given to Britons caught up in the disaster, the ministry said.
Britain's Channel Four News had yesterday reported that British pharmacist Colin Bembridge, 61, had gone missing with his Filipino partner Maybelle and their three-year-old daughter while visiting relatives near the now-devastated city of Tacloban.
A British warship, HMS Daring, is due to arrive at the Philippines' Cebu island tomorrow after making its way from Singapore.
Helicopter carrier HMS Illustrious -- the largest ship in the British navy -- was also due to be deployed along with a Royal Air Force C-17 transport aircraft.
Authorities in the Philippines have put the official death toll at 3,633, with 1,179 people missing and nearly 12,500 injured.
