The 23-year-old former Sheffield Wednesday and Bradford trainee made 23 appearances for the National League side last season.
Lacey has also had a stint with Altrincham but now has the chance to play his first Football League match.
"It's a big chance for me and I need to grab it with both hands," he told the club website.
Find all the latest football transfers on our dedicated page.
League Two side Accrington Stanley have signed midfielder Paddy Lacey on a one-year deal after his release by Barrow.