The injured performers were both sent to the hospital, with one of the dancers reported to be in "serious condition."
Hong Kong leader John Lee said Friday that authorities will "comprehensively investigate the incident" and review safety requirements for future performances, according to a government statement.
He also said the government would help family members of one of the injured dancers be able to travel from Canada to Hong Kong to see him.
Concert organiser MakerVille said in a statement it was "deeply saddened" over the injuries of two performers and that it would work with authorities in the probe.
"If we find anything suspicious, or if any person or unit is involved in misconduct, we will immediately report it to the police," the statement read.
Authorities also revealed their initial findings after inspecting the show venue — the Hong Kong Coliseum — on Friday.
The concert on Thursday was the fourth of 12 scheduled concerts by Mirror, with tens of thousands of fans having bought tickets.
Secretary for Culture, Sports and Tourism Kevin Yeung told reporters Friday the government was "very concerned" about the incident and that an investigation would be conducted, likely over several weeks.
"We will do research to find out whether (the steel cable broke) due to an operational or material problem. It cannot currently be concluded at this stage," said Yeung, adding that the incident will affect "all future performances".
Authorities will also try to determine if any safety improvements are needed at other venues for upcoming performances to minimise the chances of such an incident occurring again, Yeung said.
Officers from the Labour Department have collected evidence from the venue and will work to determine who is responsible for the incident, Secretary for Labour and Welfare Chris Sun said.
He said all activity under the remaining suspended screens at the venue will be halted, and organisers will work with government officials to determine how best to remove the suspended screens safely.
Mirror, the 12-member band, has skyrocketed in popularity in Hong Kong and been credited with the revival of Cantopop.