Holders Muckamore have been drawn against Waringstown in the tie of the round, while there's another mouth-watering clash as beaten finalists Lisburn take on CIYMS in another all-Premier fixture.
Newly promoted Templepatrick host Cliftonville Academy, while CSNI take on Instonians in two other top flight meetings.
In the other ties, the winner of the first round tie between Laurelvale and Donacloney Mill entertain Armagh, while Woodvale await a trip to either Ballymena or Lurgan.
Carrickfergis are on the road to either Cregagh or Downpatrick, while North Down will have home advantage over Bangor or Derriaghy.
The first round takes place on Saturday May 3rd, while the second round games are on Saturday May 31st.
NCU SENIOR CUP DRAW
First Round
Laurelvale vs Donacloney Mill
Cregagh vs Downpatrick
Bangor vs Derriaghy
Ballymena vs Lurgan
Second Round
A vs Armagh
CSNI vs Instonians
Templepatrick vs Cliftonville Academy
D vs Woodvale
B vs Carrickfergus
North Down vs C
Muckamore vs Waringstown
Lisburn vs CIYMS