"He bowled a 129. I bowl a 300. I could beat that score easily," McConiughey said Friday.
His challenge to Obama followed the president's offhand remark on Jay Leno's "Tonight Show" Thursday comparing his famously inept bowling to "the Special Olympics or something." Recognizing his blunder, Obama apologized to the chairman of the Special Olympics before the show aired.
White House press secretary Robert Gibbs on Friday said the president believes that the Special Olympics are "a triumph of the human spirit." Gibbs added that Obama understands that the athletes "deserve a lot better than the thoughtless joke that he made last night."
During an interview with The Associated Press, the 35-year-old McConiughey quickly rolled several strikes with his left-handed hook in a short demonstration of his prowess at Colonial Lanes in Ann Arbor.
In addition to five perfect games since 2005, McConiughey has also had an 800 series and carries a 212 average. He laughed as he joked about the popular president's apparently poor game.
"I'd tell him to get a new bowling ball, new shoes and bring him down to the lane," said McConiughey, who speaks with a serious stutter. "Keep his body straight, his arm straight and keep his steps straight. He has to practice every single day."
Special Olympics Chairman Timothy Shriver was quick to respond to the president's apology.
"He expressed his disappointment, and he apologized in a way that was very moving," Shriver said Friday on ABC's "Good Morning America."
Obama, Shriver said, wants to have some Special Olympic athletes visit the White House to bowl or play basketball.
Still, Shriver said: "I think it's important to see that words hurt, and words do matter. And these words that in some respect can be seen as humiliating or a put-down to people with special needs do cause pain, and they do result in stereotypes."
Shriver is the son of Eunice Kennedy-Shriver, who founded the Special Olympics and has championed the rights of the mentally disabled.
His sister, Maria Shriver, wife of California Gov. Arnold Schwarzenegger and a longtime Obama supporter, said laughing at the president's comments "hurts millions of people throughout the world."