Today in Cubs history: The last time the Cubs scored 20 runs in a game Share this story The game you’re going to read about here didn’t make it into that list — because while the Cubs scored 20 runs, their opponent, the Dodgers, managed just one. Since 1900, the Cubs have scored 20 or more runs in a game just 15 times. Here’s the entire list: Rk Generated 4/26/2021. And so you are reading about this because today is the 20th anniversary of the last time the Cubs scored 20 runs in a game, May 5, 2001 at Wrigley Field against the Dodgers. It’s not just that the team scored 20 runs, it’s how they did it. Through six innings this was a rather ordinary game. Sammy Sosa and ex-Dodger Todd Hundley had homered off Darren Dreifort and the Cubs had a 4-1 lead.