The show is to begin performances Nov. 2 at the Al Hirschfeld Theatre in Manhattan and scheduled to run through Jan. 2, Playbill.com said.
Leavel will play Emily, Jacoby will portray Walter and Wendt will be Santa.
Who will play elf Buddy and his love interest Jovie have not been announced, the Web site said.
"'Elf' is the hilarious tale of Buddy, a young orphan child who mistakenly crawls into Santa's bag of gifts and is transported back to the North Pole. Buddy is raised unaware that he is actually a human, until his enormous size and poor toy-making abilities cause him to face the truth. With Santa's permission, Buddy embarks on a journey to New York City to find his birth father and discover his true identity. Faced with the harsh reality that his father is on the naughty list and his step-brother doesn't even believe in Santa, Buddy is determined to win over his new family and help New York remember the true meaning of Christmas. This modern day Christmas classic is sure to make everyone embrace their inner 'Elf,'" the show's producers said in a synopsis.