"I have never said I am married to Bina," said Dahal Jr. in an interview with BBC Nepali Service. "No matter how my affair with Bina has been reported in the media, this is just a personal affair that can happen in a person's life," he added.
According to BBC Nepali service, Prakash was interviewed at India Gate in Delhi amid speculations that he has returned to Nepal.
Prakash, 31, divorced once earlier, has a son with his second wife Srinaja Tripathi of Pokhara. He had elope d with Bina in July.
"I was a little tensed after Srijana (his legal wife) went to her parental home over the media reports that defamed me following my return from Everest trip," Prakash said about his second wife. "I should have divorced with Srijana before starting this (with Bina)," said the Maoist chairman's son.
He conceded having made the mistake in accepting third wife without giving divorce to his second wife. "I have made mistake in the process," he said.
However, Dahal Jr. said he will return to Nepal and take up the party responsibilities as soon as the controversy over the affair ends. Prakash and his partner Bina were suspended from the party on the recommendation of Chairman Dahal after the media splashed with reports of their elope ment in July.