The housing, communities and local government secretary later made a 40-mile trip to visit his elderly parents in Shropshire, the Guardian reported.
He said he was delivering food and medicine and did not go inside their house.
Mr Jenrick has been at the heart of the government’s response to the coronavirus crisis, and gave a press conference in Downing Street on March 29, at which he updated the nation on the latest virus advice.
He later travelled to his Herefordshire property where he has given several media interviews via videolink.
The MP for Newark, in Nottinghamshire, told the Daily Mail: “My house in Herefordshire is the place I, my wife and my young children consider to be our family home and my family were there before any restrictions on travel were announced.