The Burmese opposition leader and member of parliament Aung San Suu Kyi is making her first visit to India since she was released from nearly 15 years under house arrest.
She will meet Indian Prime Minister Manmohan Singh, tour parliament and deliver a public lecture.
She will also visit the college in Delhi she attended in the 1960s, when her mother was Burmese ambassador.
Burma is emerging from years of isolation under military rule.
Since November 2010, it has gradually moved to a nominally civilian government, backed by the military, and has implemented economic and political reforms.
Barack Obama will become the first US president to visit Burma when he travels there as part of a short Asian tour later this month.
India initially supported the pro-democracy movement and many Burmese students found refuge there after the military crackdown on protests in 1988.
However, our correspondents say India adopted a pragmatic approach to dealing with the military junta in the 1990s, and that this visit is an opportunity to mend fences.
Earlier this year, Mr Singh made a two-day visit to Burma, aimed at strengthening political and economic links.
One of India's major projects is the Trilateral Highway, linking its north-eastern states to Burma all the way to Thailand.
Burma also has untapped reserves of oil and gas.