Two bodies, one of a man and the other of a woman, were found in two different places in west Delhi's Narela area on Sunday morning, police said.
Police said the two bodies have not been identified so far and they were investigating the matter.
Police received a telephone call early on Sunday morning that the body of a woman - aged between 30 and 35 years - was lying behind a farmhouse near a graveyard in Narela.
A police official told IANS that there was no injury mark on the woman's body.
Police, however, have not ruled out foul play in this case.
The body has been kept in the mortuary of Babu Jagjivan Ram Memorial Hospital in Jahangirpuri.
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In another case, the body of a man aged about 30 years, was found lying on a road near the Narela police station on Sunday morning.
Police said the man was a beggar and had been sick for a long time, and "probably died of his ailments".