Her accountant husband, named Sakthivel Vageswaran, found the bodies of his 33-year-old wife Jeyavani and their five-year-old and seven-month-old boys when he returned home from work on Thursday evening.
Scotland Yard said they are not looking for anyone else in connection with the deaths and are treating the death of the two boys as murder.
A Metropolitan Police spokesperson said, "Detectives are not seeking anyone else in connection with the incident."
Post-mortems were carried out on the three family members at Northwick Park Mortuary yesterday.
Vageswaran runs his own firm, Vaasi Accountancy, from the address in Harrow, north London.
Vijay Rajh, who lives on the street, said the family was quite private in the relatively close-knit neighbourhood.
"It is a quiet street and some neighbours know each other, but I'm in and out all of the time and I barely ever saw them - they just seemed to stay in the house," he told the Harrow Times newspaper.
