The woman's father Kher Muhammad Khan was also arrested, police said adding that both the woman's father and husband Sabir were involved in committing the crime.
Police said that the man and woman, identified as Umair Alam and Ismat were strangled to death with a long scarf. "Sabir was working abroad, and was back home on holidays."
He went on to say, "Sabir was enraged after he saw his wife with Umair and ended up killing them both for honour."
The bodies were recovered earlier on Sunday from a house in Karachi's Federal B Area, Senior Superintendent of Police Central Irfan Baloch said.
Uncle, cousins 'kill girl for honour'
"The deceased were murdered after being subjected to torture," Baloch said, adding that the bodies have been shifted to Abbasi Shaheed Hospital.
Sabir fled the area after committing the crime, with the police conducting search operations to arrest him, the police official said.
Faisalabad struggles with scourge of ‘honour’ killings
According to rescue services, the victims were tortured before being murdered.
Autopsy and other legal formalities are being conducted at the hospital, they added.
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