NORTHAMPTON — A significant storm will bring up to 6 inches of snow to the area starting early Tuesday morning, the National Weather Service predicts.

The storm arrives in Hampshire County between 1 and 3 a.m., according to meteorologist Alan Dunham in Norton, with the heaviest snow falling between 6 a.m. and 2 p.m. With temperatures holding steady around 30, the snow will be heavy and wet, he said, and this combined with strong northerly winds gusting up to 35 mph could lead to power failures.

Snowfall is expected to end by 3 or 4 in the afternoon, though the Weather Service’s winter storm warning continues until 1 a.m. Wednesday.

Forecasters said the storm track had been difficult to predict, with models on late Monday showing it moving more to the south and decreasing snowfall forecasts.

Officials announced that schools and municipal offices across the region would be closed Tuesday, and winter parking bans were in effect.

Northampton Public Works Director Donna Lascaleia urged drivers to use caution if they must travel.

“We will be pretreating the roads overnight, and encourage drivers to stay home as the weather deteriorates,” she said.

Northampton’s Forbes Library announced it would be closed, and the city said its solid waste transfer stations would be closed.

Snow is expected to be equally heavy in the Boston area. Gov. Maura Healey held a winter storm press conference in Boston with emergency and highway officials.

“I’m asking Massachusetts residents to take steps to protect yourselves and your loved ones by making sure your homes stay safely heated and traveling on roads with extra care,” Healey said.

The State House will be closed Tuesday, and Healey ordered all non-essential employees of the executive branch to stay home. All Registry of Motor Vehicle service centers will be closed, and in-person hearings and road tests will be rescheduled.

Information on road and traffic conditions can be found online at www.mass511.com or by downloading the Mass511 mobile app.

The storm is expected to track along the New England coastline, and coastal flooding is possible. Some areas across the region have the potential for snow accumulations of up to 18 inches.

“National Grid is closely monitoring the weather forecast, and we have crews and personnel in place across Massachusetts ready to respond to any impacts this storm may bring,” Tim Moore, vice president of electric operations for New England, said in a statement.

Eversource said it is bringing in additional line and tree crews in advance of the storm who will be positioned around the state.

National Grid customers can report power outages at www.nationalgridus.com or call 800-465-1212.

Eversource customers can report any outage online, or by calling 877-659-6326.