In the game, Flinstone was playing with his pet dinosaurs - Dino and Hoppy one day when suddenly, the evil Dr. Butler appeared in his time machine and kidnapped Fred's pets for his intergalactic zoo. In addition, Dr. Butler also broke the alien Kazoo's time machine and scattered the parts from it all over the world.
Fred Flinstone must collect all the parts from Kazoo's time machine and take it to Dr. Butler to save Dino and Hoppy. Fred Flintstone’s main weapon is the stick that can be used not only to hit the enemies, but also to interact with different mechanisms and objects present in the game.
The gameplay of The Flintstones: The Rescue of Dino & Hoppy is a classic side-scrolling platformer. It is very similar to Chip 'n Dale Rescue Rangers or Adventure Island. There are a total of eight levels in the game, each with a boss battle in the final stage. There are additional levels in the game, the basketball game, during which players can get extra points.