Congress had fielded senior leaders Ripun Bora and Ranee Narah.
"Congress has won both the seats. Independent candidate Mahabir Prasad Jain got no vote," Assam Assembly Principal Secretary Mrigendra Kumar Deka told PTI here.
Giving the break-up, Deka said Congress' 66 MLAs and AIUDF's 17 MLAs and one each from BJP and BPF had cast their votes in the Rajya Sabha poll.
AGP and the remaining members of BJP and BPF abstained from the polling, Deka said.
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Addressing the media later in the evening, Chief Minister Tarun Gogoi said "now, people of the state will realise that I have support from across the parties," he added.
PCC President Anjan Dutta said "this is a signal before the Assembly polls. We will show the same performance there too.
"Earlier I was sure of winning 70 seats but now I am confident of winning at least 78 seats in the Assembly polls," he said.
A two-phased assembly poll will be held in Assam on April 4 and April 11 and counting for all its 126 seats will be on May 19.