"The fast and often bright meteors make the wait for radiant-rise worthwhile, with many events leave glowing persistent trains after them."
RASNZ said stargazers should expect to see 30 or more meteors an hour.
Nasa's Meteoroid Environment Office told Space.com that Eta Aquarids is of medium brightness, and the darker the skies are the more people will see it.
Because of the full moon setting as the radiant rises, it will not interfere with the peak this year.
"This is a good year, in May, if you want to catch a glimpse of debris from Comet Halley burning up," Cooke said.
Eta Aquarids lasts a week, however Sunday morning is the best time to view the shower.
The only thing that may affect the view is the weather, which has been forecast as cloudy on Sunday.
This dust from Halley's Comet causes two meteor shows each year with the second called the Orionids in October.