The woman's mother, father and uncle were arrested after the gruesome murders carried out in a village in the state of Haryana on Wednesday, police said.
The couple were tracked down and brought back to their village in Rohtak district after they fled to the capital New Delhi, local police chief Anil Kumar said.
The woman, 20, was allegedly beaten to death and then relatives, angry about their decision to leave, turned on her 22-year-old boyfriend, attacking him with sticks, stated Inspector General Kumar.
"While murdering the boy they also beheaded him," Kumar said.
The family had tried to burn the woman's body but were stopped by police, Kumar told AFP by telephone.
The pair had been in a relationship for three years. The woman was studying to be an art teacher while her boyfriend was also a student at a local college, Kumar said.
"We have arrested her father, mother and uncle and we are looking for her brother, a friend and driver of the car in which the couple were brought back to her home in Gharnavati village," the police chief said.
"Both belonged to the same village and the same caste. It is an honour killing but the murder was not approved by society."
India has for centuries seen killings that often target young couples who have relationships of which their families, clans or communities, particularly in traditional rural areas, disapprove.
Reasons for disapproval are numerous, but they sometimes include having relationships outside of their caste or religion. The killings are carried out by relatives to protect the family's reputation and pride.
Police in Haryana have been conducting a campaign against honour killings in the state, where the sex-gender ratio is skewed in favour of men because of an outlawed but still existing tradition of female infanticide.
"We hold seminars and our women officers visit villages but the ultimate weapon against the scourge of honour killings is (more) education," Kumar said.
India's Supreme Court said in 2010 that the death penalty should be given to those found guilty of honour killings, calling the crime a barbaric "slur" on the nation.
There are no official figures on honour killings in India, but the All India Democratic Women's Association says its research shows about 1,000 such cases nationwide a year.
COMMENTS (14)
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Indians on ET have to relate everything with Pakistan. you need to get over this infatuation, concentrate on what's going on in your own backyard!
Haryana is one of the most backwards state in India.
When it comes to women, Haryana and Punjab are both extremely backwards state.
People are superstitious, ignorant, arrogant and extremely misogynistic.
Funny, how bollywood makes fun of South (by far the most educated and liberal people of India) and exemplifies Punjab and other North (By far the worst part of India).
Chidambaram said it perfectly, if India consisted of only the South, Maharashtra and Gujarat, India would be South Korea.
Now, the states I mentioned here are just 7 states and 1 UT. The rest of the 22 states of India are still struggling to get out of the last century.
Honour killing is not an issue restricted to India or Pakistan, it exists in many parts of the world but possibly to a lesser degree. The issue is cultural and societal and needs to be addressed accordingly.
Good job ET u never bothered to post the 'last comment'
Something wrong with the people of this region. Help us God.
@Carlos: The same can be said about your people when something like this happens in Pakistan.
Ironically, you just criticized Pakistanis for exactly what your people do all over ET!
@csmann: Oh the irony, pakistanis dont do what the indians r best at, bashing pakistan by coming on pakistani media for some real news & never bothering to look in the mirror.
@Carlos: You covered it well. E.T published it. But don't you think you should be condemning this news instead relating it with Pakistan?
Haryana is turning into FATA.
Now Pakistanis can bombard the page with there India bashing comments without even thinking about themselves!! e.t......have the guts to not block this comment!