M Harinder Goud, around 40 years old, who works as a technician at a dental clinic, is suspected to have throttled his wife and two children, a senior police official said.
The deceased were identified as Jyothi, aged around 35, and the couple's son Abhitej (6) and daughter Sahasra (4).
Goud is absconding, poice said.
"Exactly why he killed them -- whether it was sudden provocation or some old dispute -- is not yet clear," Assistant Commissioner of Police V Ravinder Reddy told PTI.
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A Manmohan, station house officer, Meerpet police station, said Goud's neighbours today spotted the dead bodies in the house and alerted police.
"The accused is absconding," he said, adding a murder case has been registered.
This is a second triple-killing case to be reported in the city in the last few days. On January 29, a 25-year-old woman, her mother and five-year-old daughter were allegedly killed by her partner in Chandanagar police station limits.