May expressed this view during an interview with the Sunday Telegraph.
"I'd personally like to see the Human Rights Act go because I think we have had some problems with it," she said.
"I see it, here in the Home Office, particularly, the sort of problems we have in being unable to deport people who perhaps are terrorist suspects. Obviously we've seen it with some foreign criminals who are in the UK," she said, ahead of the annual conference of the Conservative party, which is expected to discuss the issue.
Prime Minister and the Conservatives' leader David Cameron said he agreed with May that the act should be replaced with a British Bill of Rights, which would include all the fundamental rights.
But, the idea is likely to concern leading Liberal Democrats, some of whom have said the future of the coalition with the Conservatives would be threatened if the Act, which incorporates the European Convention on Human Rights into UK law, was axed.
Last month Liberal Democrat's leader Nick Clegg told his party conference he would defend the Act.