The sponsorship will include coverage of the draw, a feature within the Drivetime show on Friday evenings ahead of match weekends, and interviews across the schedule.
The deal was brokered by Lucy Davis at TalkSport and Jonathan Barrowman, head of radio at Initiative.
In addition to editorial coverage, TalkSport will run a competition to find one fan and would-be sports reporter who will be sent to an FA Cup match every weekend.
After each game the fan, who will be chauffeured there and back by an E.ON driver, will talk on air about the match and write a blog for the station's website.
"This relationship is another example of official partners activating their headline sponsorship on TalkSport," said Adam Bullock, sales director at TalkSport.
"The deal offers the real fans the opportunity to get closer to the tradition and excitement of the FA Cup."