Woods, 23, played against Celtic twice last season in the FA Cup, and lists 1874 Northwich, Ramsbottom United, Abbey Hey and Hyde United among his previous club.
He said: “I’m happy to have made the step up into the Northern Premier League, especially with a club like Stalybridge.
“I just want to get my head down now and be playing regular football to help the team progress.
“I wanna (sic) think the manager for taking a chance on me.”
Manager Simon Haworth added: “Ben is a good signing for us, left-back has been a real problem position for us over the last two seasons and Ben has come in and made a real good impression.
“With his pace and energy and enthusiasm to learn, the number three shirt is his to lose.
“I’m hoping he will have a real good season with us.”
Keep up-to-date with our exclusive email newsletters.
Subscribe