Marble miner Ogad Singh's 20-year-old daughter had been living with her parents in the Rajasthani village of Dungarji after leaving her husband two years ago.
Police Superintendent Umesh Ojha says Singh was upset by his daughter having affairs with men, and became enraged when she eloped with one of them two weeks ago.
Ojha says Singh forced her to return home Sunday, and beheaded her Monday with a sword.
Rapidly modernizing India faces increasing social clashes as youths resist traditions like arranged marriage or limits on women venturing outside their parents' or husbands' homes.
(Copyright 2012 by The Associated Press. All Rights Reserved.)