It was held following the passing of councilor Kevin Hewson.
The results were counted at Quainton Memorial Hall last night and are as follows:
Deborah Lovatt (Green Party) 47 votes
Maxine Myatt (Labour) 113 votes
Scott Raven (Liberal Democrat) 564 votes
Steven Walker (Conservative) 492 votes
A total of 1219 ballot papers were issued, and the turnout was 47.7%.