Officials want visitors to ditch the bags or switch to “noiseless” alternatives with wheels that are filled with air or liquid.
It is hoped the move will also protect the city’s ancient streets.
Venice is one of Italy’s major visitor attractions, with 27 million people flocking there each year.
A statement on the Venetian council’s website said the plan was drawn up to appease the city’s residents.
“The rule is designed to respond to the numerous citizens who have in recent years complained to the local council about the serious irritation caused by stuff being moved about at times of the day and night,” it said.
If introduced, anyone flouting the proposed rule would be liable to a fine of up to 500 euros ($675), according to AFP news agency.
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