Honking their horns and cheering as they circled the State House in a caravan, Uber and Lyft drivers rallied with labor groups and other advocates Tuesday to again press Massachusetts lawmakers to pass a bill that would let the drivers unionize and offer other worker protections.

Bill supporters say that a union would help drivers negotiate for better pay, benefits and working conditions. It’s a push that’s gone on for more than two years on Beacon Hill, with a union just one of a handful ideas raised by competing groups in the fight over how to legally treat rideshare drivers’ employment.

Organizers said more than 500 people participated in Tuesday’s event, gathering at a Dorchester parking lot before driving to the State House.

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