Despite the Bantams' youngsters missing a number of regulars due to injury, illness and first team call-ups, a single first half strike from Reece Webb-Foster proved enough to book City's place in the grand final.
The margin of victory could have been greater but Nathan Curtis unfortunately saw his second half penalty saved.
Following their victory in Saturday's northern section final, City will now play the winners of the southern section - either Colchester United or Portsmouth - in the grand final.
The venue for the final will be decided once it is known which side will compete alongside City for the Youth Alliance Cup.
The Bantams' triumph over Hull this Saturday in the northern section final comes just days after City secured the Youth Alliance (North East) Division title.
CITY XI (vs Hull City)
Barker, Jenkinson, Kershaw, Wright, Waters, King, Mottley-Henry, Devine, Brennan, Webb-Foster, Curtis