It will air on Thursday's edition of the show.
"Vice President Biden is both Leslie's [Poehler's character] political hero and her No. 1 celebrity crush, so meeting him is obviously a huge moment for her," Mike Schur, executive producer of "Parks and Recreation," said in a statement Thursday. "We looked at a number of actors to [play] the role of 'Vice President Joe Biden,' and ultimately, Joe Biden himself gave the best audition."
"Meeting Vice President Biden was a thrill for me and for Leslie," Poehler said. "He was a good sport and a great improviser. The vice president maintained his composure while I harassed him and invaded his personal space. The nation of 'Parks and Rec' will be forever grateful."
2014: The Year in Music [PHOTOS]