The Daniels were in title contention in the S/East Division, before the premature end of the 2019/20 campaign.
Chairman David Whitby said: “It is fantastic news to have secured Graham’s services for the next campaign and we hope that we can begin it where we left off!
“Graham is a pleasure to work with and I believe he is vital in helping with the clubs development and ambition in our quest for higher level football in the football pyramid. His non stop and hard working attitude along with his player knowledge and contacts are second to none.
“I believe that it was our best season for many years with a fantastic attacking style of football being played. Grahams recruitment close season was superb with virtually a whole new squad being assembled who immediately gave 100% commitment to the club with their fantastic attitude and skill.
“The team worked and gelled together very quickly and at the time of ending the season , were just two points off being top of the league and chasing league leaders Leek Town hard.
“I would like to thank each and every member of the playing squad who I believe put in some fantastic and memorable performances.”
Stamford had won 22 of their 29 games during the season, losing just three times. They sat two points behind Leek Town, though the leaders did have a game in hand, and 13 points ahead of third placed Cleethorpes.
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