Grocon chief executive Daniel Grollo must be stood down from Prime Minister Tony Abbott's high-powered business advisory council until criminal charges relating to the deadly Swanston Street wall collapse are resolved, Greens MP Adam Bandt says.

WorkSafe on Monday charged Grocon and Sandringham firm Aussie Signs over the collapse of a wall on the Swanston Street CUB breweries site last March.

The site of the collapse. Credit:Simon O'Dwyer

The wall's collapse killed Bridget Jones, her brother Alexander and academic Dr Marie-Faith Fiawoo.

The wall that fell, amid wind gusts of up to 100 km/h, was the boundary fence of Grocon's building site, being developed as an apartment and retail complex.