Police were called to Pebble View, Tunstall, Stoke-on-Trent, by paramedics at 09:25 GMT on Saturday.
Ch Insp Kevin Mulligan said there were no suspicious circumstances and a report was being compiled for the coroner.
"This was sudden and unexpected," he said. "Our specially-trained officers are giving support to the family at this very difficult time."
No other details have yet been released.
A two-year-old child has died suddenly at a house in Staffordshire.