The Prime Minister accepted the resignation of Immigration Minister Mark Harper "with regret", Downing Street said.
Harper announced his resignation over his employment of a cleaner who was not permitted to work in the UK.
"Mark Harper offered his resignation after he was informed that his cleaner did not have indefinite leave to remain in the United Kingdom, despite having shown him documents claiming she did," a Downing Street statement read.
"He immediately notified the Prime Minister - who accepted his resignation with regret. There is no suggestion that Mr Harper knowingly employed an illegal immigrant."
More top news
Former US President George H.W. Bush is in intensive care after suffering from pneumonia, as his wife is admitted as a precaution.
The tech giant is taking steps to measure economic confidence and steps to halt the spread of fake news, but denied that it was a publisher.
Temperatures still a talking point