The organisation "London Councils" - which represents the boroughs - says charges are determined by the demand for parking spaces.
But critics claim they just add to the burden on already hard-pressed Londoners.
Our Political Correspondent Simon Harris reports:
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Work in the tower will also pause over the bank holiday weekend.
The attacker grabbed her dog lead wrapped it round her neck and started to strangle her before running away.
Less than a third of the money raised for those affected by the Grenfell Tower fire has reached their pockets, according to new data.