The UK has started kicking out foreign criminals under the Immigration Act 2014.
Home Office said more than 300 foreign criminals have already been removed while nearly 500 more are currently going through the system.
Under the non-suspensive appeals which came into force last July, Home Office officials can deport criminals before they have the opportunity to launch claims under the Human Rights Act or claim asylum.
Those deported then have the right to launch an appeal from their own country.
The new powers have seen a number of criminals deported despite having family members in the UK.
Immigration and Security Minister James Brokenshire said: “Foreign nationals who abuse our hospitality by committing crime in Britain should be in no doubt of our determination to deport them.
“The countless appeals and re-appeals lodged by criminals attempting to cheat the system cost us all money and are an affront to British justice.
“Non-suspensive appeals are allowing us to kick out foreign criminals more quickly and more efficiently than ever before and I want to see them used as often as possible.”
The Immigration Act has slashed the number of appeals available to foreign criminals from 17 to just four. They have also been denied the right to appeal against deportation simply because they do not agree with the government’s decision.