The closures will allow Utility Line to install new electricity supplies and complete essential upgrades.
Affected roads include Farnborough Hill, Gravel Road, and Lower Gravel Road.
The council said the order will come into effect on January 15, with no specific end date, but the works are expected to last for up to 18 months.
The closures will be in effect until the completion of the works, preventing any vehicle from waiting or proceeding on the affected streets.
Vehicles found waiting in contravention of these restrictions may be removed under the Removal and Disposal of Vehicles Regulations 1986, or by the council under its conferred powers.
The council said the prohibitions on traffic will not apply to cul-de-sacs, and displaced traffic will be diverted via local streets where appropriate.
The restrictions will only be active as indicated by traffic signs in accordance with the Traffic Signs Regulations and General Directions 2016.
The council has assured residents that access to properties will be maintained as far as practicable from either side of the closure.
Emergency access and egress routes will be maintained at all times.
Vehicles being used in connection with the works will be exempt from the restrictions, as will any actions done with the permission or direction of a police officer in uniform or a traffic warden.
The works are part of a wider programme of upgrades to the electricity network in London, which includes replacing old cables and equipment, and installing new infrastructure.
The company has been working in various parts of the borough over the past few years, replacing old cables and equipment with new ones to improve the reliability of electricity supplies.
The council has urged residents to plan their journeys accordingly, allowing extra time for any potential delays caused by the diversions.
They have also advised residents to contact the council’s Environmental Services Department for any queries regarding the works.
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