The board of the New Zealand Historic Places Trust is the latest group to call for a halt to the demolition of ChristChurch Cathedral.
The building was severely damaged in the February earthquake last year and it has been decided that all but two or three metres of the Anglican church is to be taken down.
Demolition of the tower began on Monday.
The board has resolved to support keeping as much of the building's heritage fabric as possible and has asked for any further work to stop.
Chairperson Shonagh Kenderdine says the Cathedral can be retained in a greater form than church leaders believe.
She says it is a question of time and money - and time needs to be taken to find the necessary money.