The incident took place at Neradigonda village.
Lakshman Singh strangled his daughter to death with the help of his wife Chandrakala and mother Panchavati at about 3.30 this morning, inspector K Nagendra Chary said.
The girl had asked her lover who is from another caste to come to the house. When the youth went to her house last night, Singh had a heated exchange with him.
The family apparently feared that the girl would elope, which would bring them disrepute. Lakshman has two more daughters, Chary said.
The three accused had been detained and probe is on, he added.