Moon, a liberal candidate and former human rights lawyer, made the comments last night while responding to a conservative presidential candidate who argued gay soldiers were weakening the country's military.
Gay rights advocates, some of whom who were dragged away after approaching Moon following a speech in Seoul today, see Moon's words as hate speech.
Moon's supporters defended his comments as in line with many South Koreans' views. Moon's camp didn't immediately respond to the criticism by gay rights activists.
After the conservative candidate, Hong Joon-pyo, argued that gay soldiers were weakening the country's military, Moon said he agreed.
Hong then asked Moon whether he opposed homosexuality, to which Moon replied, "I oppose." When Hong double-checked, Moon said, "Of course."
Hong represents the party of ousted President Park Geun- hye, who was arrested last month and now faces the prospect of a prison term over corruption charges.
A watchdog has recently accused South Korea's military of hunting down and prosecuting gay servicemen. That raised worries of more discrimination and hate crimes against sexual minorities.
Moon later in the debate said that he opposed "discrimination based on homosexuality," but was also against legalising same-sex marriage.
"Moon needs to offer an apology and a correction of his comments made on live television," said Jung Yol, a gay rights activist. "What he said was clearly hate speech, and since he is the candidate favored to win the election, his words can influence how people think."
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