The deaths are being treated as unexplained by police, who are patrolling the local area to reassure residents.
The bodies of the 28-year-old woman and young child were found this morning at a property in Stratford-Upon-Avon by a visitor.
Detective Superintendent Noel McMenamin from Warwickshire Police said: “This is an isolated and tragic incident and we are conducting a thorough investigation to find out how these deaths occurred.
“Officers have been conducting local inquiries and patrolling the area to provide reassurance to local residents.”
He said detectives are investigating the circumstances of their deaths, which are being treated as unexplained.
Post-mortem examinations will be carried out in due course, Warwickshire Police said.
The identities of the woman and child will not be released until the formal identification process has been carried out and all close family members have been informed.
Police said no further details were available at this time.
West Midlands Ambulance Service deployed a senior paramedic officer, an ambulance crew and a rapid response vehicle to the house where the bodies were found.
A spokesman said: “A woman and a child were both confirmed dead at the scene.”