It comes after the Bulls beat Redbridge in the second round on Saturday, coming back from a goal down at half time to cruise to a 4-1 win. That win earned the club £3,750 in prize money.
The tie between step three Bognor Regis and step four South Park will take place on Wednesday after Saturday’s match was postponed due a waterlogged pitch.
All Hereford's cup games so far this season have been at home, four in the FA Cup and one so far in the Trophy.
All ties for the third round of the FA Trophy will be played on Saturday 9th December. Winners will receive £4,500 and losers £1,250.
There were 64 sides in the draw, still regionalised, as it was drawn on TalkSport 2 from 3.15pm this afternoon.
National League sides have just entered the competition, though a tie with Kidderminster Harriers wasn't possible as they're in the north section and Hereford the south.