Deputy Governor of Lagos state, Obafemi Hamzat visited the scene of the 21-storey building which collapsed in the Ikoyi area of the state on Monday.
The incident occurred on Gerrard Road in the affluent neighbourhood.
Mr Hamzat assured that the government would do what it can to rescue all those trapped in the rubble.
Speaking with an unidentified woman who claimed that her cousin was stuck in the building, the deputy governor stated they were trying to ensure the swift response of heavy-duty equipment to begin the rescue operation.
The cause of the collapse had yet to be ascertained as of press time.