Brown made 24 appearances during the 2019/20 campaign.
"Dan has proved to be an excellent signing from Southwell where he was making excellent progress and he has made the step up to league with relative ease," the club said.
"He also had a short loan spell with West Bridgford which helped his development a lot.
"He has strength and pace in abundance and we feel sure he can progress even higher through the non league pyramid.
"We would like to thank our chairman for backing us on this latest deal particularly with things in general being difficult for non league clubs at the moment."
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