The final will be played at Valley Parade, the home of Bradford City on Tuesday 11th April with a 7:45pm kick-off.
On Monday evening the Celts reached the final after toppling National League North side Bradford Park Avenue 3-1.
The Brewers booked their place in the final a week prior after coming from a goal down to see off Brighouse Town.
This will be the fourth meeting between the two sides this season. A goalless draw on Bank Holiday Monday was the first contest but Farsley won the next two in the Emirates FA Cup and at Throstle Nest in early January.
We will have further updates regarding tickets in the next few weeks.