The quake, with its epicentre at Deogarh in Jharkhand, was felt at around 8 AM and lasted for a few seconds.
There was no report of any loss to life or property so far.
State Meteorological Director A K Sen said in Patna that the tremors were felt in places like Gaya, Munger, Jamui and Banka in Bihar.
A Ranchi report said the earthquake struck Deoghar, Dumka and Jamtara areas in Jharkhand.
People rushed out of their houses after experiencing the tremors.