The accolade, which is decided by supporters, saw the 37-year-old top the poll with 32% of the votes cast for his strike against Ronaldo's Portugal in the dramatic 3-3 Group F draw on 23 June.
Gera's effort, which gave Hungary the lead, saw him control with his chest before powering home a left-footed long-range strike.
Ronaldo came second with 24% for his leaping header against Wales in the semi-final, with Xherdan Shaqiri (23%) third following his acrobatic goal in Switzerland's last-16 match with Poland.
Eder (16%) was fourth for his decisive goal from distance in the final against France, while Hal Robson-Kanu's goal for Wales in its victory over Belgium came fifth on just 5%.
Euro 2016 Goal of the Tournament vote results:
1st Zoltan Gera (Hungary v Portugal) - 32%
2nd Cristiano Ronaldo (Portugal v Wales) - 24%
3rd Xherdan Shaqiri (Switzerland v Poland) - 23%
4th Eder (Portugal v France) - 16%
5th Hal Robson-Kanu (Wales v Belgium) - 5%