An injury time penalty from Killian Brennan secured all the points for the Saints this afternoon.
St Pat's had taken the lead with 9 minute remaining thanks to Christy Fagan's first goal of the season.
Drogheda thought they had snatched a point thanks to Ryan Brennan's last minute equaliser.
However, from the restart the Saints pushed forward looking for the winner and were awarded a penalty in the 92nd minute.
Killian Brennan stepped up and scored from the spot to the delight of the travelling supporters.