Oldham Council said it will announce a reopening date when more information is available.
The library on Rochdale Road will open as usual on Saturday 22 August before closing from Monday.
The council said the work is needed to assess and repair flooring and ensure the building remains safe and accessible.
Alternative library services will remain available at Crompton, Chadderton, Failsworth, Fitton Hill, Limehurst, Oldham, Northmoor, Delph, Uppermill, Greenfield and Lees.
Residents can also access eBooks, eAudiobooks, eMagazines and online reference resources through Oldham Council's digital library service.
The council said it is exploring other local options to support people who use Royton Library during the closure.
Subnum Hariff-Khan, Head of Heritage, Libraries and Arts for Oldham Council, said: “We understand that Royton Library is a valued community resource and a place that many residents rely on, so we appreciate that this temporary closure may cause some inconvenience. We're exploring alternative local options to support residents and will update as soon as possible.
“These works are essential to ensure the building remains safe, welcoming and fit for the future. Throughout the closure, customers will still be able to access library services at our other libraries across the borough, as well as a wide range of digital resources online.
“We would like to thank residents for their patience and understanding while this work takes place.
“We look forward to welcoming everyone back to Royton Library once the improvements have been completed.”
Information about alternative libraries and online services is available at hla.oldham.gov.uk/libraries.
