The Pacific Tsunami Warning Centre (PTWC) confirmed the tsunami threat from an 8.2 magnitude earthquake off the peninsula had passed.
Civil Defence said people do not need to evacuate unless directly advised by local civil defence authorities.
"If a tsunami has been generated in this location it is not likely to arrive in New Zealand for at least 12 hours."
Two other earthquakes with preliminary magnitudes of 6.2 and 5.6 occurred in the same area within a half-hour of the first one, the US Geological Survey reported.
PTWC had issued warnings for Hawaii and Guam but they were subsequently lifted.
PTWC said some coastal regions near the Alaska Peninsula would remain under a Tsunami warning.
According to Honolulu Star Advertiser, The Pacific Tsunami Warning Center listed the magnitude as 8.1 and said "an investigation is underway to determine if there is a tsunami threat to Hawaii". But the U.S. Geological Survey said the quake was magnitude 8.2 and hit 56 miles (91 kilometres) east southeast of Perryville, Alaska.
"Based on all available data a tsunami may have been generated by this earthquake that could be destructive on coastal areas even far from the epicentre," PTWC said.
Based on the preliminary seismic data, the quake should have been widely felt by almost everyone in the area of the epicentre. It might have caused light to moderate damage.
Moderate shaking probably occurred in Perryville, Chignik Lake and Sandpoint.
-Additional reporting AP