Luton pulled one back through Kasey Palmer on 40 minutes, before Liam Roberts made two big saves to send Stags in with a half-time lead.
But Luton found a way back into it with Shayden Morris levelling on 50 minutes.
Stags then held on for what could well have been their toughest point of the season.
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13. Will Evans - 7
Looked sharp in the first half after his rest in midweek. Unlucky not to open the scoring when Josh Keeley made a good one-on-one save on seven minutes. Did his defensive work well in the second half when it was all hands to the pump. Photo: Getty Images
14. Tyler Roberts - 7
Intelligent first half display with his movement causing Luton a few defensive issues. Unlucky not to get on the scoresheet after hitting the bar with a header before Russell tapped home. Photo: Getty Images
15. Rhys Oates - 5
Replaced Roberts on 58 minutes but was isolated and had little impact as Mansfield sat back to protect their point. Photo: Chris Holloway