"I agree with its conclusions in particular the fact that there was no cover-up," Verbruggen, who led the UCI from 1991-2005, said in a statement provided to The Associated Press.
"I am pleased that after years of accusations being made against me the conspiracy theories have been shown to be nothing more than that," the Dutch official said. "I have no doubt that the peddlers of such accusations and conspiracies will be disappointed by this outcome."
Armstrong reportedly paid the UCI $125,000 which Floyd Landis and Tyler Hamilton testified to the U.S. Anti-Doping Agency was in exchange for covering up a positive test for the blood-booster EPO.
"That story isn't true. There was no positive test. No paying off of the lab. The UCI did not make that go away. I'm no fan of the UCI," Armstrong told Winfrey.
Verbruggen said that "given this is true, I was not surprised that Lance Armstrong confirmed this in the interview."
Still, statements issued by Verbruggen and the UCI on Friday did not directly address Armstrong's recollection that "they asked if I would make a donation," apparently toward anti-doping equipment.
"They (the UCI) called and said they didn't have a lot of money I did," Armstrong said.
Verbruggen's successor as UCI president, Pat McQuaid, said that Armstrong's admission of doping to Winfrey was a welcome move.
"Lance Armstrong's decision finally to confront his past is an important step forward on the long road to repairing the damage that has been caused to cycling and to restoring confidence in the sport," McQuaid in a statement.
McQuaid insisted that "there were no positive tests which were covered up and he has confirmed that the donations made to the UCI were to assist in the fight against doping."
"Lance Armstrong has confirmed there was no collusion or conspiracy between the UCI and Lance Armstrong," McQuaid said.
The UCI's links to the Armstrong case will be examined by an independent commission over three weeks of hearings in London in April.
McQuaid, who replaced Verbruggen as UCI president in 2005, said the UCI would welcome Armstrong participating in a proposed "truth and reconciliation process" for cycling.
The Irish official and Verbruggen have said they will give evidence to the three-member inquiry panel.
Armstrong told Winfrey he took banned drugs during each of the seven Tour de France victories that were stripped from him for cheating.
The UCI acted on a devastating 1,000-page report published by the USADA in October, which raised allegations that the Swiss-based governing body was complicit in the widespread doping program by Armstrong and his teams.
McQuaid said it was "disturbing" to watch the Armstrong interview, which was broadcast worldwide on Winfrey's website starting at 3 a.m. Swiss time on Friday.
"It was disturbing to watch him describe a litany of offenses including among others doping throughout his career, leading a team that doped, bullying, consistently lying to everyone and producing a backdated medical prescription to justify a test result," said the UCI chief, referring to Armstrong's positive test for a corticosteroid during his first Tour win in 1999.
"However, Lance Armstrong also rightly said that cycling is a completely different sport today than it was 10 years ago," McQuaid said. Verbruggen said Armstrong's interview helped show that "the UCI has been at the forefront of the fight against doping in sport."