Defender McNulty managed just 14 appearances during an injury-ravaged 2012/13 campaign but he is now looking forward to the new season.
"I'm delighted to have signed and can't wait to get back and get started again under (David) Flitcroft, (Micky) Mellon and (Martin) Scott," he told the club's official website.
"It was an unbelievable end to the season and we'll hopefully kick on for a good start to the new one.
"I got fit and raring to go at the end of the season, but the big picture was that we stayed up and that was incredible. I'm ready now to get straight into it. It's exciting to look ahead."
- Sports & Recreation