In the latest twist in the ongoing saga of the Grade II*-listed tower ( pictured), the groups have combined strength to once again slam McAslan's proposals to replace the building's windows.
The move comes as Kensington and Chelsea Council said it was 'minded to grant' planning permission for the refurbishment of Erno Goldfinger's landmark building last night.
The council cannot grant full planning permission for the work because it is the owner of the building. This decision has been passed to the government office for London (GoL).
The two heritage organisations are now urging GoL to call a full public inquiry into the affair, claiming the work proposed would 'damage the architectural integrity of an important listed building'.
DOCOMOMO-UK has claimed that it does not think 'the potential for refurbishment has been adequately considered or that total replacement is justified'.
Residents are known to be upset about the proposals, organising a petition last year and submitting a detailed report to the council outlining alternatives to the plans to replace Goldfinger's windows.
English Heritage has not objected.
Campaigners link up to oppose McAslan's planned Trellick makeover