Red first met Snor during the RGB saga, where he was blocking the Route 12, which was being used for a bike race. Red managed to wake Snor up with some Beedrill honey that had dripped onto Saur. After this Snor followed Red all the way to the goal of the race, where he was then caught by him.
During his journey through Kanto, Red used Snor in various battles, such as in his battle with Giovanni, where he battled against Giovanni's Nidoqueen and Golem. During the Pokémon League, Snor was also used to battle against Blue's Machamp. Eventually Snor was able to land a combination of Double-Edge and Toxic on Machamp, making the Superpower Pokémon so weak that Blue recalled him.
During the GSC saga, Snor was used during the Gym Leader test for Viridian Gym, where he easily defeated the Pokémon Association's Forretress and Azumarill. Later during the saga, Snor proved his amazing physical strength by stopping the Magnet Train which had broken out of control.
In the Sevii Islands, Snor was used by Red during the Battle Path. Later, he was used in a battle against Deoxys, but due to Deoxys changing into Defense Forme, his attacks had no effect on the DNA Pokémon. He was then nearly killed while defending Red from Deoxys's Psycho Boost.