He also apprised the governor of recovery of a large cache of arms and ammunition on Friday.
"We apprised the governor about the situation in Darjeeling, recovery of arms and the slow restoration of peace there," Tamang told newsmen after the meeting at the Rajbhavan.
He said today's meeting with Tripathi was a "courtesy call" after he was made the chairman of the BoA by the West Bengal government.
"We have told him that we are willing to talk to the Centre on the Darjeeling issue. The Centre must intervene as soon as possible and call us for talks on all the pending issues, including Gorkhaland.
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"We have also apprised the governor that since 2015 there had been no tripartite talks involving the GTA," he added.
Describing the location of Darjeeling as "strategic" owing to its international borders with Nepal and Bhutan, Tamang said discussions should be held quickly keeping in mind the sensitivity of the place.
Tamang along with party colleague and BoA vice chairman Anit Thapa had met Chief Minister Mamata Banerjee on Friday. The leaders along with three GJM MLAs will meet her again at the state secretariat tomorrow.
"On Friday, we had met her (Banerjee) as representatives of GTA, not on behalf of the party (GJM). Tomorrow we will go and meet the CM as representatives of the GJM," he said.
The Mamata Banerjee government had last month formed a nine-member board of administrators instead of the Gorkhaland Territorial Administration (GTA) to look into the development works in the Darjeeling and Kalimpong hills.