A winter storm predicted to bring blizzard conditions to Cape Cod, the islands, and Southeastern Massachusetts while dumping up to a foot of snow on the Boston area prompted many communities to cancel school Monday and declare parking bans.

Governor Charlie Baker closed state offices across the eastern part of the state for nonemergency workers as the storm approached.

Many school systems, including Boston, Brookline, Cambridge, Somerville, Arlington, Quincy, Everett, Chelsea, Revere, Salem, Brockton, New Bedford, Bourne, Barnstable, and Wellesley, announced that they would not open Monday.

Despite Boston’s school closures, no snow emergency had been declared in the city as of Sunday evening. Boston schools closed Friday when just under 7 inches of snow fell.

Brockton is among the communities bracing for some of the heaviest snow.

“Our forecast is now calling for blizzard conditions with at least a foot of accumulation and possibly more,’’ Brockton’s mayor, Bill Carpenter, said Sunday. “We’ve kicked into full operations for a snow emergency.’’

Baker said nonemergency executive branch employees in Barnstable, Bristol, Dukes, Essex, Middlesex, Nantucket, Norfolk, Plymouth and Suffolk counties will not have to report to work.

The cities of Cambridge, Somerville, Quincy, Revere, and Chelsea announced Sunday night that snow emergencies and parking bans will be in effect Monday.

The blizzard warning was scheduled to go into effect Monday at 4 a.m. and last until 7 p.m., according to the National Weather Service in Taunton. Parts of Plymouth County and Cape Cod could see between 12 to 18 inches of snow while 8 to 12 inches are expected to fall in the Boston area, the weather service said.

The snow is timed to start falling steadily in Boston around the start of the morning commute between 4 and 6 a.m. and drop the heaviest amount of snow between 7 a.m. and 2 p.m., said Alan Dunham, meteorologist with the weather service.

The city of Boston said it planned to dispatch more than 500 trucks to treat roads before commuters head to work Monday morning.

Tom Tinlin, state highway administrator, asked drivers to consider staying home Monday.

“The morning commute as well as the [evening] commute are going to be significantly impacted,’’ he said. “This is not a drill. This is the real thing. It’s going to be significant.’’

The state Department of Conservation and Recreation has declared parking bans on coastal roadways, including Day Boulevard in South Boston, starting at 8 a.m. Monday.

As of Sunday afternoon, commuter rail operator Keolis Commuter Services said trains are scheduled to run on a normal schedule Monday. Changes are not expected for Tuesday, but if necessary, modifications will be announced Monday, Keolis said.

The Massachusetts Bay Transportation Authority said it also planned to follow its regular schedule Monday, though some Green Line trains on the D Branch may face “minor delays’’ between the Chestnut Hill and Reservoir stations. That area of the Green Line experienced signal problems from the heavy, wet snow that caused trees to fall on wires and tracks Friday, the T said.

State Police said more than 350 troopers will be on duty during the storm, patrolling state highways and roads to respond to spinouts, cars sliding off the roadway or becoming disabled, and jackknifed tractor-trailers. State Police are also prepared to deploy rescue vehicles and 1.5-ton trucks at various points in Eastern Massachusetts if there is coastal flooding, the agency said.

Airlines began calling off flights at Logan International Airport, where more than 200 trips set for Monday had been canceled as of Sunday night, according to the tracking service FlightAware.

The Massachusetts Port Authority, which runs the airport, said passengers are advised to check with their airline before heading to Logan.

Forecasters said communities under the blizzard warning can expect heavy wet snow and strong winds that may down tree limbs and cause power outages. Northeast wind gusts of 50 to 70 miles per hour are possible on Cape Cod while gusts up to 35 miles per hour are predicted farther inland.

“Strong winds and heavy snow will create blizzard/whiteout conditions at times,’’ the weather service said. “Visibilities will become poor with whiteout conditions at times.’’

Some communities expecting the highest accumulations, including Dartmouth, New Bedford, Nantucket, and Fall River, have announced parking bans. Bourne rescheduled a Special Town Meeting for Monday and Marshfield announced town offices are closed Monday.

There is a risk of moderate flooding at high tide Monday morning along the coast south of Boston and the possibility of minor flooding in pockets north of the city, the weather service said.

The storm is forecast to start with light rain on Cape Cod and the islands around midnight before changing to snow between 2 and 4 a.m., Dunham said.

Lighter snowfall is predicted for central Massachusetts, where up to 6 inches could accumulate, and western Massachusetts, where some areas could see no more than 4 inches, the weather service said.

In New Hampshire, where the first presidential primary is scheduled for Tuesday, snow is expected to begin Monday morning and may continue to fall in small amounts when polls open Tuesday morning, the weather service said.

Representatives from National Grid and Eversource said crews worked Sunday to restore electricity to their customers in Massachusetts before the next storm arrived.

The storm heads to the region as at least 1,000 electricity customers were in the dark Sunday night.

As of 11:30 p.m. Sunday, there were fewer than 40 National Grid customers and about 1,100 Eversource customers without power, the utilities reported.

Once Monday’s storm ends, the region faces the possibility of more winter weather this week, the weather service said, with a chance of snow Tuesday and Wednesday from other large systems passing by the New England area.?

An arctic cold front is then forecast to swing through late Wednesday night or Thursday.

Globe correspondents Aneri Pattani and Nicole Fleming contributed to this report. Laura Crimaldi can be reached at laura.crimaldi@globe.com. Follow her on Twitter @lauracrimaldi.