Police arrested businessman Sheikh Shaukat and his three young sons in Faisal Town area of Lahore after getting a complaint from Shamim Bibi, the mother of the victim.
Officials said they were not ruling out the possibility that the girl was raped before being killed.
Superintendent of Police Tariq Aziz said police responded to a call from Shaukat's residence yesterday and found the girl's body on stairs leading to the roof.
"A piece of cloth was found close to the body and marks of strangulation were also spotted on her neck," Aziz said.
Aziz said an autopsy would determine the exact cause of death.
Last week, a 10-year-old maid was brutally tortured to death here allegedly by her employers for "stealing" Rs 100.
