Media reports had suggested the trip would begin as soon as Sunday and last two days
According to the NHC, a tropical storm warning was in effect from Surf City, North Carolina up to Eastport, Maine.
A tornado watch was in effect for 30 counties in North Carolina, according to the National Weather Service office in Raleigh.
People along the border between North and South Carolina were experiencing power outages and flooding, according to local media.
Power company Duke Energy said there had been more than 1,000 outages in the Wilmington area of North Carolina.
Santee Cooper, South Carolina's state-owned utilities company, said more than 6,000 customers had been without power at one point.
"Preparations to protect life and property should be rushed to completion," it added.
President Donald Trump announced earlier Monday he had issued emergency declarations for Florida and both Carolinas, freeing up federal funds.
"Everyone needs to remain vigilant," he warned during a news conference.
"I encourage everyone to follow the guidelines of the state and local authorities," he said, adding the guidelines have been "very accurate so far."
"So stay safe," he added.
New Jersey Governor Phil Murphy declared a statewide state of emergency ahead of Isaias's arrival, warning residents to stay off the roads in stormy conditions.
The Carolinas have seen a recent surge in coronavirus cases as the US struggles to curb the spread of the illness.
"We in North Carolina mostly know what to do," the state's governor, Roy Cooper, said Sunday.
"You pack your emergency kit, follow local evacuation orders, stay in a safe place and never drive through flooded roadways.
"But this time, pack your masks and hand sanitizers in your kit and remember to social distance."
Up to 150 National Guard soldiers had been activated to help prepare for the storm and assist in the aftermath, if necessary, Cooper said.
The storm was earlier downgraded from a Category 1 hurricane after brushing past Florida, leaving the state relatively unscathed, but it picked up strength as it approached the Carolinas.
It earlier dumped torrential rain on the Bahamas, felling trees and flooding streets, before emergency management officials on Sunday gave the "all clear" for the country.
At least one person died in Puerto Rico and the storm also lashed Haiti and the Dominican Republic.
Media reports had suggested the trip would begin as soon as Sunday and last two days
Visitors can enjoy movies with family favourites, including ‘The Jungle Book’, ‘Jumanji’ and ‘Zootopia’ to match the wild theme every evening from 8pm
Sheikh Mohamed conveyed his congratulations to all eight honourees, recognising their inspiring efforts and significant contributions in service to society
His father thanked everyone who participated in the search mission despite the challenges posed by flooding in various parts of the emirate
It will be humid by night and Sunday morning with a probability of mist formation over some coastal and internal areas
Nearly 6,000 volunteers linked to a single support group are working tirelessly across the country to help those affected
Real estate developer MAG pledges to cover all the costs of necessary repairs for affected residents
The substantial increase in charges left many residents financially burdened, as they strive to retrieve their stranded vehicles