A 45-year-old woman was stabbed to death before her house was destroyed by an explosion, police said.
Officers are treating the death of Shelley Saxton-Cooper as murder after fire tore through their house where husband Simon Saxton-Cooper was also found dead.
Detectives said are not looking for anyone else in connection with the incident.
Mr Saxton-Cooper, 50, died from smoke inhalation after the fire on Sunday morning, Derbyshire Police said.
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The cause of the blaze at the house on Valley View Road, Riddings, is not yet known and the police and fire service are conducting an ongoing investigation.
A report into the deaths is being compiled for the coroner.