The first quake hit around 2313 hours (IST). It had a magnitude of 5.6, a Home Ministry spokesperson said.
The second quake struck at around 0446 hours. It also had a magnitude of 5.6.
There is no report of casualty following these two tremors.
"There should not be any panic as such aftershocks are normal after a major earthquake," the spokesperson said.
Meanwhile, the National Crisis Management Centre, headed by Cabinet Secretary Ajit Seth, is meeting around noon today to take stock of the rescue and relief operations.
Top officials of the Prime Minister's Office, Cabinet Secretariat, Ministries of Home, Defence, External Affairs and others will attend the meeting.
Over 50 people were killed and 237 injured in various parts of the country in a powerful quake, with epicentre in Nepal, which destroyed or damaged several houses and buildings.
Bihar, Uttar Pradesh and West Bengal, bordering Nepal, were the worst-hit parts of India in the quake measuring 7.9 on the Richter Scale.

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