It might be a tough day to hail a cab in Cambridge.

Many of the city's taxi drivers are staging a one-day strike to call for stepped-up regulation of ride-hailing services such as Uber and Lyft.

Cabbies began gathering Monday morning outside City Hall. They are calling on city officials to impose on the ride-hailing services the same kind of rules that the taxi industry faces.

The Cambridge City Council considered an ordinance last year to increase regulation of the companies, but later decided to defer to the state Legislature.

Gov. Charlie Baker filed a bill in April that would require drivers for ride-hailing services to undergo state criminal background checks, and the companies to carry at least $1 million in liability insurance for each ride.