Moses Mbye slotted a high-pressure 84th-minute field goal from 35m out to deliver Canterbury a 25-24 win over the Wests Tigers.
The Tigers led 24-6 after 57 minutes but the Dogs came storming back into the game to tie the scores at 24-24 and force the first golden point period of the NRL season.
Luke Brooks and Trent Hodkinson missed field goals in the extra time period before Mbye kicked true.
Brooks and James Tedesco inspired a dramatic Tigers surge after halftime as they raced out to an 18-point lead, but the joint venture faded from there at ANZ Stadium on Friday night before 20,121 fans.
Tedesco put Kyle Lovett over to open the scoring in just the sixth minute for an early 6-0 lead for the home side.