The former Ethiopian health minister, who has pledged to shake up the United Nation's public health body, beat Dr David Nabarro of Britain and Dr Sania Nishtar of Pakistan after three rounds of voting.
Tedros said he preferred to see global agencies including WHO, the World Bank, GAVI vaccine alliance and Global Fund as part of one "big envelope".
Tedros Adhanom Ghebreyesus of Ethiopia will be the first African to lead the World Health Organization following his election Tuesday as director-general of the United Nations agency.
"It is not always the best candidate who is chosen, Dr. Tedros election restores hope that most deserving candidate can win", said Kagame.
His leadership during this time was praised by former USAID administrator Ariel Pablos-Mendez, who wrote in an opinion piece for CNN: "Ethiopia has fallen short in some health markers... but by nearly any measure, it is showing the way to a new era in world health".
Winning this election, Tedros has become the first African to head the World Health Organization top post.
Ethiopian Foreign minister, Workneh Gebeywhu to his side said "The victory is the result of Ethiopia's success in diplomacy".
Tedros, 58, pledged to respond "rapidly and effectively" to emergencies and to stand up for the rights of the poor. "If we have as many countries as possible who can contribute, it could be any amount, I think that will help", he said.
Adhanom was recently at the helm of drafting the AU Agenda 2063, which represents the strategic framework guiding Africa's development priorities for the next 50 years, while serving as Chair of the Executive Council of the AU, said the statement. An internationally recognized malaria researcher, as Minister of Health, Tedros received praise for a number of innovative and system-wide health reforms that substantially improved access to health services and key outcomes.
Welcoming the choice, Women Deliver has said his appointment comes at a time when the world needs a fierce and proactive advocate for gender equality and the health, rights and wellbeing of girls and women more than ever.
Rwanda's Minister for Foreign Affairs Louise Mushikiwabo who was the chief campaigner of Dr. Tedros has always described him as one of the best qualified individuals to lead the global agency. "For us in Rwanda, and for the larger eastern Africa, we feel proud and look forward to May 23". Murakoze Cyane Mr. President for your support since the start of our campaign.
After a long, bruising campaign that began in 2015, Tedros beat out two other contenders, David Nabarro of Britain and Pakistani physician Sania Nishtar, for the post by winning 133 of the votes cast by 185 World Health Organization member states.