The agency said an unprecedented 284,000 EU citizens are estimated to have arrived in the year to June -- right before Britain voted to leave the European Union.
Immigration was a key issue during Britain's EU referendum in June, when Britons voted by 52 per cent to leave the 28-nation bloc.
Many who voted "Leave" backed Brexit because they want Britain to have more control over immigration, which is difficult under the EU's freedom-of-movement principle.
Helen Bower, spokeswoman for Prime Minister Theresa May, said the government stands by its ambition to reduce net migration below 100,000 -- a goal the Conservative government set several years ago, but appears increasingly unlikely to meet.
"The government has been clear that we are committed to reducing migration to sustainable levels," she said. "But that it's going to take time."
Net long-term immigration -- the difference between the numbers arriving and leaving the country -- was estimated at 335,000, down just slightly from 336,000 the year before. Net immigration of EU citizens was 189,000.
Some 189,000 EU nationals arrived for work, the highest estimate recorded. Officials suggested the rise may in part reflect "weaker labor market conditions" in some southern European countries.
The figures also showed that the number of students coming to Britain had fallen to 163,000, the lowest level in a decade.
The drop followed recent measures by officials to crack down on students staying in Britain after finishing their studies.
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