It was Africa's turn to nominate a President for the upcoming 69th General Assembly session and Kutesa was nominated by the Africa Group as its candidate in May 2013.
Kutesa would take up the presidency when the 69th General Assembly gets underway in September.
When asked about his views on gays, Kutesa said he had "no problem" with them as long as they kept their homosexual behavior private. "As long as they respect the privacy...I have no problem with it at all," he told reporters.
"I have never been found corrupt. I'm not homophobic and I believe I'm an astute person to lead this organization for the next session," Kutesa said when asked if he is the correct person to lead the UN body given his country's stance on homosexuality and allegations of corruption against him.
Earlier, Kutesa told the UNGA that the world "continues to be confronted with different challenges of global reach and impact", including poverty and hunger; unemployment; myriad impacts of climate change; armed conflicts; and emerging security threats such as transnational organized crime, terrorism, piracy and human trafficking.
Offering his congratulations to Kutesa, UN chief Ban Ki-moon said the position of Assembly President "demands a variety of skills" - bridge-building among all UN Member States; patience to guide the body through lengthy and complex negotiations; and "as a quiet guide, a messenger, a seeker of consensus."
The US mission to the UN said in a statement that the UN Charter places respect for human rights and dignity at its core, and it is the job of the General Assembly - and its President - to uphold these principles.
It said that Kutesa's upcoming tenure as the UN General Assembly President will leave a "black mark" on the UN's commitment to protect the human rights of all individuals.
Philippe Bolopion of the New York-based Human Rights Watch said Kutesa's "defense of Uganda's profoundly discriminatory anti-homosexuality law raises serious concerns about his commitment to the values embodied in the Universal Declaration of Human Rights and makes him a questionable choice by UN member states to lead the UN General Assembly.
