A spokeswoman for Totara-Dunedin Properties said work would likely resume today after a structural assessment was completed.
A section of Princes St was closed yesterday morning because of safety concerns, the spokeswoman said.
"A large portion of facade masonry collapsed into the building zone," she said.
"There was a risk that this could fall back on to Princes St.
"As a result, Scope Group, who are managing the deconstruction work, have instated an emergency closure of Princes St to enable the safe stabilisation of the site."
By yesterday afternoon, the spokeswoman said two lanes southbound and one lane northbound were open, which was the original traffic management plan for the demolition.
Last year, the buildings at 380 and 386 Princes St were deemed to be dangerous.
The Dunedin City Council reissued a consent for the buildings’ demolition at the end of September.
The work is expected to take about 10 weeks.