Parts of the Bay of Plenty have also lost power.
Hundreds of homes in Mamaku, near Rotorua, lost power about 4.45pm. The Unison website states 379 customers were initially affected, but the final 53 in Amoore, Cecil and Maraeroa Rds were expected to be restored by midnight.
At least 200 homes in Tauranga are without power, in the suburbs of Ohauiti and Hairini.
At least 900 properties lost power in Tauranga and Te Puke.
Strong wind gusts can damage power lines directly or indirectly when vegetation and other debris blows into lines, Vector spokesman Matthew Britton said.
In Maraetai, 420 properties in the Maraetai area lost power after a vehicle hit a power pole.
The 12.5m pole had to be replaced, Britton said, a job expected to take six hours, depending on weather.
Meanwhile, many residents and business properties in Newmarket and Mt Eden have been without power for the afternoon.
Vector were called to the outages at 12.40pm and repairs were still under way at 7.50pm.
A fault on the Waiheke network also caused a power outage that affected about 1100 people - although the fault was thought to be unrelated to weather.
Britton said crews were remaining on standby as the bad weather continues in Auckland throughout the night.
"Vector's response crews and storm management teams are on standby and we are actively monitoring the latest advice from MetService and our own data on network performance."
