The bridge has been closed a number of times since mid-September when freak gusts of up to 127km/h blew a shipping container truck over - damaging a strut at the top of the bridge structure.
Wind gusts about 70km/h at its peak
The MetService said the mean wind speeds recorded on the bridge about 9am were around the 45km/h mark and gusting about 70km/h.
Meteorologist Stephen Glassey said: "It's not going to get too much stronger. It may get slightly stronger, but we're not expecting it to exceed much further than that."
He said the rest of the day is expected to bring "steady" winds that would ease back significantly tomorrow.