Communities Secretary Eric Pickles said he was "very sorry" to hear about the resignation of Immigration Minister Mark Harper.
Mr Harper resigned after discovering the cleaner he employed was in the UK illegally.
"I'm very sorry to hear about Mark Harper. He was a very good administer. I've known him a long time but I recognise the Prime Minister has accepted the resignation," Mr Pickles told ITV News.
"My best wishes go to him and his family."
More top news
Rail companies could be made to inform delayed passengers of their compensation rights via train announcements.
The British arm of the retail chain earned 7.7 billion in sales in 2015.
The Canadian government has settled thousands of refugees fleeing conflict in Syria.