The 19-year-old footballer said the fan "shouldn't miss a game cos u can't afford it".
Twitter user Monk sent a good luck message to Mings ahead of Ipswich's match against Bolton in the Championship, but said he could not afford to go and watch his team.
The pair then struck up a conversation before Mings supplied the fan with tickets.
Mings' gesture has received widespread praise throughout the footballing community. Former Arsenal and England striker Ian Wright tweeted:
It's great to see a footballer making off pitch headlines for the right reasons. This is a great gesture by Tyrone and all the better that the fans were rewarded with a home win.
Here is a transcript of Tris Monk's and Mings' Twitter conversation: