The mutilated bodies were spotted by locals in the morning who informed the police.
The youth and girl were relatives and were allegedly having an affair about which their family members found about, police said.
They were missing from their houses and were found dead on railway tracks today, it said.
The youth was the resident of a village near Bassi whereas the girl was a resident of Dausa district.
The youth was a student in Dausa, the police said, adding, that the bodies were handed over to family members after postmortem.