Boris Johnson said he was "pleased" that the court had recognised the robustness of the fire authority's plans.
"I hope that all the parties involved will now draw a line under this and help us move forward and work with the Fire Commissioner to deliver a stable and secure future for the brigade.
"London's fire-fighters are the best in the world with incomparable response times. However, we need to continue to modernise the service so that it is fully equipped for the challenges of 21st century fire-fighting.
"The London Safety Plan will ensure that there is a balanced budget for 2014/15 so that, wherever possible, compulsory redundancies can be avoided whilst keeping London safe."
More top news
Some 26 schoolchildren who went missing in the Brecon Beacons during a Duke of Edinburgh exercise have all been found safe and well.
Charaf Elmoudden went to the singer's four-bedroom house in north-west London last year and made off with goods worth more than £200,000.
The plea has been postponed in case where man is accused of dismembering a police officer he met on gay dating website Grindr.