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Labour say today's net migration figures show David Cameron's pledge to bring numbers down to below 100,000 is "in tatters".
"David Cameron and Theresa May must now admit that their net migration target is in tatters and they have utterly broken their grand immigration promises," Shadow Home Secretary Yvette Cooper said in a statement.
"David Cameron promised "no ifs, no buts" that net migration would fall to the tens of thousands. Instead it has gone up by nearly 70,000 in the last year," she added.
Nick Clegg has attacked his Tory coalition partners over immigration, claiming their target of bringing net migration down to the tens of thousands is "meaningless".
The Deputy Prime Minister was speaking after new figures showed net migration - the difference between the number of people entering and leaving the UK - was 243,000 in the year to March.
This was a "statistically significant" increase from the previous year's total of 175,000, according to the Office for National Statistics.
Speaking on his weekly LBC phone-in, Mr Clegg said: "It's a slightly meaningless target, you could have a million people leave this country and 1 million come in and hey, presto, you've met your target of no net immigration, so I don't think it makes a great deal of sense."
He also said the public's confidence in the immigration system had been "very, very badly shaken" in recent years.
The Government says it remains focused on controlling migration despite new figures showing a "significant increase" in net migration to the UK.
Immigration and Security minister James Brokenshire said the government was continuing to enforce reforms that is fair to "legitimate migrants but is tough on those who flout the rules".
- European Union citizens accounted for two-thirds of increase in net migration
- Immigration increased 13% from 492,000 in previous year to 560,000
- Some 28,000 Romanian and Bulgarian citizens immigrated to UK - up from 12,000
- The number of people leaving the UK remained stable at 316,000
There was a net flow of 243,000 long-term migrants to the UK in the year ending March - up from 175,000 in the previous year.
The Office for National Statistics said the overall net migration - the difference between migrants leaving and arriving in the UK - had seen a "statistically significant increase".
Two-thirds of all immigrants to the UK within this period came from within the European Union.
Prime Minister David Cameron and Home Secretary Theresa May previously pledged to cut net migration to below 100,000 by the 2015 General Election.