Malloy said municipalities don't have the equipment to handle so much snow, citing drifts that are 10 feet high.
"This is a historic storm," Malloy said. "We had historic levels of snow in every one of our counties."
Malloy could not say yet how much the storm would cost. "A lot," he said, urging residents to be patient with the pace of snow removal.
Most schools and colleges in Connecticut are closed and nonessential state workers are staying home as plow crews continue to clear highways and local streets two days after the epic storm, which dumped up to 3 feet of snow on New England and killed seven people in Connecticut.
Malloy said state offices and the court system were expected to open Wednesday.
National Guard Humvees have been set up as ambulances to transport sick and injured people, he said.