The body of Peter West, who was 60, was discovered at the property in Glazebrook Road, Leicester, at 11:00 BST on Tuesday.
Emma Hicken, 35, and Kieron West, 35, both of Glazebrook Road, were charged late on Thursday evening.
Officers are still treating Mr West's death as unexplained.
The detained pair have also been with a child neglect offence and are due to appear before Leicester Magistrates' later.
A man and a woman have been charged with preventing the lawful and decent burial of a body after a man was found dead at a house.