The London Assembly is an elected body within the Greater London Authority (GLA) that acts as a watchdog for the city’s Mayor of London and the entire GLA.
Proposed changes include amending vehicle exercise duty (also known as road tax) and higher parking fees for SUVs.
The group has urged the Mayor to request that councils in the capital consider increasing parking fees for larger vehicles and the Department for Transport (DfT) to implement stricter regulations on the size and bonnet height of passenger cars.
The Members voted in favour of the changes, with 14 votes in favour against eight that opposed the measures.
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Labour London Assembly Member Elly Baker, who proposed the motion, said: "(SUVs) greater size, weight, and higher bonnets put vulnerable road users at greater risk, reduce available parking spaces, and cause more wear and tear on our roads.
"It's time we took sensible steps to manage the impact of oversized cars and ensure our streets remain safe and accessible."
In response, a Mayor of London spokesman said: "The mayor, Transport for London and borough partners are working to eliminate deaths and serious injuries on our roads, by expanding the cycle network, making road crossings and junctions safer, reducing speed limits on our roads, and making larger vehicles like HGVs and buses safer.
"This year the mayor will be refreshing his Vision Zero action plan, external to restate his commitment to reducing road danger and responding to new and emerging risks on our roads."

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