The Bemidji City Council put plans to change the name of the street on hold after residents complained it would force them to update their driver's licenses and other documents, including bank records, Minnesota Public Radio reported.
Council members said they will instead seek options for making the signs less prone to theft.
City officials said about 10 of the signs currently need to be replaced. Theft of the signs has cost the city about $20,000 during the past decade, officials said.
The avenue was named for 19th century area surveyor Marcus Stoner but in today's vernacular a "stoner" is someone who frequently smokes marijuana.