RNZ reports engineers have assessed the stadium and cleared it of any major structural damage.
But the internal concourse and seating bowl will remain closed until repairs have been completed, which is expected to take two weeks.
The Wellington Phoenix were due to play Melbourne Victory in their A-League football match at the stadium on Saturday night, but that has now been postponed.
Westpac stadium chief executive Shane Harmon said public safety was the stadium's top priority.
