Stubbs has been recently released from Football League One side Crewe Alexandra after four years with the Railwaymen.
He links up with Kidsgrove Athletic for the Pitching In Northern Premier League 2021/22 season.
Manager Scott Dundas said: “Kyle is a very technical and energetic player with a great left foot. He has really impressed us in pre-season and, is a great addition to our squad.
“Hopefully, he can find a way back into the professional game by putting in some good performances for us.”
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