Club captain Priestley, 31, and Stopforth, 34, both joined the Blues last summer.
“They are two big characters and arguably, for me, would get in any team in the league above,” said player-manager David Lynch.
“They are the spine of the team and the heart and soul of the dressing room.
“You know what you’re going to get from them every week and I’m delighted they are both staying at the club.
“It would have been unbelievably hard to replace two players of their quality.
“I don’t see us achieving what we want to without those two on board.”
The duo join Kielen Adams, Jake Connelly, Cole Lonsdale and Terry Cummings in committing to next season with the Pitching In Northern Premier League N/West Division club.