Kovind, who arrived here from Djibouti, was received at the Addis Ababa airport by his Ethiopian counterpart Mulatu Teshome.
Kovind's visit is the first by an Indian president to Ethiopia in 45 years after President V V Giri's trip in 1972.
The two nations are expected to review the entire gamut of bilateral relations during the visit.
India's bilateral trade with Ethiopia in 2016 was nearly USD 1 billion. It is among the top three foreign investors in Ethiopia with an approved investment of USD 4 billion.
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Kovind will also interact with members of the Indian community here.
India is among the top trade, investment and development partners of Ethiopia. As per the World Economic Forum, Ethiopia has been the leader in economic growth in East Africa and is projected to become the fastest growing economy in the world in 2017 recording a growth of 8.3 per cent.
The bilateral partnership between India and Ethiopia which is based on civilisational ties and cultural bonds now covers all areas of mutual and contemporary relevance.