The 46-year-old star, who plays actress Kristin Davis' on-screen husband Harry Goldenblatt, was alleged to have admitted his problem has interfered with his latest project.
According to the New York Post's gossip column, PageSix, he said: "It's been going on for the past two years. Sometimes it goes on for two, three days straight. So it was happening a little while filming, yes.
"But I can get it under control. I go to a quiet corner and redirect my breathing and center myself."
But Handler claims the article was a huge exaggeration of the truth.
He tells TV show Extra, "My hiccup thing is a scam! I had some hiccups the other day, but pretty much everything else in that article was invented."
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