Internet services remained suspended while shops and markets were closed. A relaxation in the movement of vehicles was announced earlier for Eid.
Ex-Army men took out a silent procession in support of the demand for a separate Gorkhaland.
Meanwhile, the indefinite shutdown called by the Gorkha Janmukti Morcha (GJM) entered its 12th day today. Party workers distributed vegetables, mainly cabbage, to the people.
They also submitted the resignation letters of the Gorkha Territorial Administration (GTA) members to the governor.
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All 45 elected members of the GTA, including its chief executive Bimal Gurung, had announced their resignation from the GTA last week.
The GJM has announced that they will burn copies of the GTA accord in the hills tomorrow.
People offered prayers at local mosques and as a sign of solidarity to the cause of Gorkhaland, most of them did not use vehicles to visit relatives and friends and travelled on foot instead.
"Shops and markets are closed here. We could not buy new clothes. But that is not a problem. We are celebrating Eid.
"We offered namaz. We prayed for peace in the hills," they said.
The GJM had yesterday decided to give a 12-hour relaxation for the Muslims to celebrate the festival during which they could use vehicles to go to the plains and meet their relatives.
The police and the security forces patrolled the streets the hills which remained tense.
Medicine shops, hospitals and private nursing homes functioned.