Responding to the Arsenal manager's claim that managers who downplay their title chances have a "fear to fail", the Chelsea boss highlighted his rival's trophy drought.
After Mourinho's repeated assertion that his side is not the favorite for the title this season, Wenger suggested that managers who play down their team's chances have a "fear to fail".
But when presented with the latest comments from the Gunners boss, the Portuguese replied: "He's a specialist in failure. I'm not.
"The reality is he's a specialist because eight years without a piece of silverware, that is failure."
Chelsea currently leads the Premier League by a point from Arsenal after 26 matches, with Manchester City and Liverpool two and three further points back respectively.
Mourinho has been at pains to stress that his side should not be considered the front runner in this season's title race, labeling his team a "little horse" and City a "Jaguar".
Arsenal, meanwhile, is mounting its most concerted challenge in years as Wenger bids to end a trophy drought which stretches back to 2005.