"The two countries are taking appropriate steps to peacefully alleviate the border situation based on this consensus," said.
Since last May, thousands of troops from both sides of the border have clashed in skirmishes along the frontier.
China and India decided to resolve peacefully the border dispute, following a high-level meeting between commanders of the two army countries on Saturday.
Good news: China and India, both nuclear-armed states, are deescalating the latest flare-up in a decades-old border conflict. Every opportunity to peacefully resolve disputes must be taken to avoid escalation to conflict and possible nuclear use. https://t.co/rqIeNqIApj
Tensions occur fairly regularly between the two regional countries along their 3,500-kilometre border.
"Both sides will continue military and diplomatic commitments to resolve the situation and ensure peace and tranquillity in the border areas," India's Ministry of Foreign Affairs has stated.
India's Prime Minister Narendra Modi and China's president Xi Jinping have sought to ease the tensions at summits over the past two years when they agreed to boost border communications between their militaries.