The floods worsened after water was released from a nearby dam into the Teesta river. It destroyed the power infrastructure at the Chungthang dam before moving downstream and flooding towns and villages.
Hundreds of search and rescue personnel have been deployed across Sikkim and in the northern parts of the neighbouring West Bengal state, which is downstream. Areas near the river remain on high alert.
Among those reported missing were 23 army personnel. Chief Minister Prem Singh Tamang said the bodies of seven had been recovered from different areas downstream of the river. One solider had been rescued alive earlier this week.
“I am saddened to hear about the martyrdom of Odia jawan Saroj Kumar Das in an incident that occurred due to the floods in Sikkim. His sacrifice in the service of the country will always be remembered. May his soul rest in peace. I pay my condolences to the bereaved family members," CM Patnaik said.
A total of 142 people, including 15 soldiers, remain missing, he said.
More than 22,000 people have been affected by the floods with many stranded in Lachen and Lachung in northern Sikkim. The floods have disrupted mobile phone coverage in the area.
"Road connectivity between districts has been cut off and bridges have been washed away," Mr Tamang told the Press Trust of India on Friday.
The army said it was providing food and medical aid to people and extending communication facilities to civilians and stranded tourists. Rescue teams are also moving evacuees to relief camps.
All schools and colleges in the state will remain closed until 15 October due to inclement weather.
On Tuesday night, the state's Lhonak lake breached its embankment after heavy rain, leading to an alarming rise in water in the Teesta river in Lachen Valley.
The flood worsened after water was released from a nearby dam into the river. A defence spokesperson reported a rapid surge in water levels downstream, reaching heights of 15 to 20 feet.
Satellite images shared by Isro, India's space agency, showed dramatic changes in the volume of the lake.
The lake covered an area of 167.4 hectares on 28 September, but by 4 October, it had shrunk to just 60.3 hectares.