Barnsley's reward for knocking holders Chelsea and Liverpool out of the FA Cup is a semi-final against fellow Championship (second division) side Cardiff City.
Also read: Chelsea, Man U beaten
Monday's draw also pitted Portsmouth, the only Premier League side left in the competition, against Championship high-flyers West Bromwich Albion.
It is the first time since 1908 that only one team from the top flight reached the semi-finals.
Both ties will be played at Wembley on the weekend of April 5-6.
