Tens of thousands of Muslims thronged mosques in the morning and offered prayers. They also hugged one another wishing everyone "Eid Mubarak".
"People prayed for peace and progress in the country and in their personal lives," Maulana Mufti Mukarram, the Naib Imam of the 17th century Fatehpuri mosque, told IANS.
After prayers, people feasted on delicacies like 'sewainya' (sweet vermicelli) and akheer' (sweet rice pudding) besides visiting friends and relatives.
Moin Shadab, a resident of Old Delhi, said: "After offering namaz, we indulged in shopping or meeting relatives for an elaborate lunch."
According to Ayehsa Khanum, a resident of Okhla in south Delhi, Tuesday's delicacies included mutton, lamb and chicken dishes.
"Korma, kebabs and biryani will be prepared in the evening as we have invited some friends and relatives over for dinner," she said.