The 22 year-old, pacey forward has appeared in all of the Tangerines pre-season matches so far and put pen to paper following Saturdays home friendly against Stalybridge Celtic.
Conwy Borough manager Darren Moss was pleased to finally get his man: "Jack is a player I have been targeting for some time, he can play in a number of positions and has pace to burn. His feet are quality and he scores goals."
"It's a fantastic signing for Conwy and shows a real intent of what we want to achieve. With Jack, Kyle Wilson and Si Everall we really have pace to threaten any team in our league and above.
"Jack has had alot of interest from higher up and clubs in England so i am delighted to get the signing sorted after today's game."
Pictured: Darren Moss (Manager), Jack Graham, Aden Shannon (Assistant manager)