The first round tie will be played at Ryton's Main Road ground. It will be the first time the sides have met in a competitive game for almost three years.
Ryton are set to visit Mayfield Park a fortnight later in a Durham Northumberland 1 league fixture.
Hartlepool will be hoping to hit the ground running with three pre-season friendlies under their belt ahead of this Saturday's cup game.
Intermediate Cup Draw
First Round on Saturday 27th August 2016
Ryton v Hartlepool
Barnard Castle v Stockton
Gateshead v Hartlepool Rovers
Darlington v Sunderland
Semi Final on or before Saturday 18th March 2017
Darlington or Sunderland v Gateshead or Hartlepool Rovers
Ryton or Hartlepool v Barnard Castle or Stockton
Final (Provisional) Wednesday 3rd May 2017