Education Secretary Michael Gove has said that the message coming from the electorate and the numbers of people voting for Ukip is "loud and clear".
The Tory minister said: "A number of people have voted for Ukip in order to send a very clear message.
"They want to make sure that Government delivers on the policies of controlling immigration, making sure that we reform our welfare state, making sure that we get a proper referendum in Europe. The instructions from the electorate are loud and clear."
UKIP's successes in the local elections have raised the possibility of them winning a Westminster seat at the general election.
A year ahead of the general election, Ed Miliband's party is seeing only patchy support in areas it should expect to gain ground.
UKIP are likely to make Rotherham a key target for 2015 after a storming result in the local elections.