One was offloading barges as normal on Sunday, and the other company is scheduled to offload barges Monday after successfully testing their crane system.
The magnitude-7.0 natural disaster sent residents scurrying for cover when it hit about 8:30 a.m. Friday local time.
The Glenn Highway received damage in several areas north of Anchorage.
"They're disturbing, and I'm not putting anything away that could fall until they calm down", Randall Cavanaugh, an Anchorage attorney, said following a restless night at home.
"The ships are coming in on schedule, the supply lines are at this point uninterrupted", Anchorage Mayor Ethan Berkowitz said Sunday at a news conference.
There were no deaths reported from the quake and minimal damage to buildings.
As one Anchorage resident put it, the shaking seemed to go on, "like, forever".
Alaska was struck by another powerful natural disaster.
"Everything looked good", Municipal Manager Bill Falsey said.
Police said there was no looting in the aftermath of the quake.
The National Weather Service's Tsunami Warning comes with instructions for residents of the Alaskan coast to find higher ground wherever possible.
The earthquakes on Friday measured 7.0 and 5.7, leaving a trail of destruction as they shattered highways and rocked buildings in the state's largest city, Anchorage.
Transportation officials said in a release that the aftershocks continue to contribute to settling and additional cracking.
ANCHORAGE, Alaska Chris Riekena was driving his 7-year-old son to school when his vehicle started acting up.
A tsunami warning was issued for Cook Inlet, which links Anchorage with the Gulf of Alaska, but it was later canceled. The temblor had a depth of 26.7 miles (43 km), the U.S. Geological Survey said. More than a dozen were higher than magnitude 4 and a handful greater than magnitude 5.
The quake was so large it felt up to 400 miles outside of Anchorage and damage reports were starting to come into the Alaska Earthquake Information Center.
Walker said says he has spoken to President Donald Trump and the White House has offered to help.
KTVA's news team in Anchorage were among those badly shaken by an natural disaster on Friday with officials describing a magnitude 7.0 quake.
Cracks could be seen in a two-story downtown Anchorage building.