Running between Cubitt Town and Moorfields Eye Hospital, it is operated by Stagecoach London.

Route 135 commenced operating on 24 May 2008 between Cubitt Town and Moorfields Eye Hospital.

[1] The initial contract to operate the route was awarded to Arriva London's Barking garage.

[3] Upon being re-tendered, the route was awarded to Docklands Buses with the transfer occurring on 23 May 2015 and Alexander Dennis Enviro400H MMC bodied Volvo B5LHs introduced.

[7] The route was included in the sale of Lea Interchange bus garage to Stagecoach London on 25 June 2022.