The Angel Gardens scheme is currently being completed by Caddick Construction for developer and sister company Moda Living.
Three panels have been blown off during high winds leading to the council closing adjacent roads for safety reasons.
A Caddick spokesperson told the Manchester Evening News: “Certain sections of Angel Gardens are still under construction and have been affected by Storm Dennis and Storm Ciara which came in quick succession.
“Safety is obviously of paramount importance and, with the extreme weather conditions continuing this morning, three of the adjacent roads have been closed as a precaution and vehicles are being re-routed.
“Caddick Construction is liaising closely with Manchester City Council and is fully securing the area and engaging with neighbours as an additional precaution.
“All of the panels have passed extensive stress testing and the façade contractor is now undertaking further extensive external checks to each panel to ensure the building and surrounding area is safe and secure.”