After a fairly closely contested first half, the Bulls edged ahead just before the break thanks to Jaiden White’s deflected effort.
A Will Brook own goal followed by further late strikes from Andy Williams and Yusifu Ceesay saw Paul Caddis side secure a comfortable win, the scoreline slightly flattering the visitors from Herefordshire.
Despite general dominance from the visitors, Farsley largely restricted Hereford to half-chances in the first half with Dmari Sterling-James’ early free kick brushing the top of the net before Lewis Hudson fired just wide from a narrow angle.
In between those chances, Joao Silva who returned from international duty with Sao Tome e Principe, embarked on an incisive run forward before squaring to Manny Mampala but the forward couldn’t keep his shot down and fired over under pressure from Hereford defenders.
But the Bulls struck the opener four minutes before half time when White’s shot from the edge of the box took a big deflection off a Farsley defender, to hand Hereford the lead.
Their advantage was doubled on 48 minutes as Sterling-James’ free-kick from 25 yards out clipped the underside of the bar before finding its way over the line off the back of helpless Farsley goalkeeper Will Brook.
Brook made a sublime save on 65 minutes to deny Sterling-James another goal and Farsley could should have halved the deficit on 76 minutes when Dylan Youmbi’s dangerous cross found Tyler Polwarth at the back post but the centre-back heded against the post from a couple of yards out.
This let-off focused Hereford and within two minutes they had their third as Williams found the bottom corner with a crisp finish from just inside the box.
Then on 84 minutes, The Bulls added a fourth as sub Ceesay’s effort from the edge of the box found its way in via a nick off a Farsley defender.
The Celts return to action on Tuesday night when they entertain Oxford City at Buxton’s Silverlands Stadium.
Farsley Celtic: Brook, Abankwah (Edmondson 87), Janneh, Polwarth, Bumhira (Youmbi 69), Hyde, Monteiro, Mampala, Kondolo (Priestley-Standing 81), Iwobi (Ameho 81), Silva.
Sub not used: Sheridan.