The park is part of the Gateway National Recreation Area.
City officials said motorists should expect traffic delays near Hylan Boulevard and Buffalo Street.
The attack continued in the air Wednesday night, with helicopters dumping buckets of water on the brush fire.
Great Kills Park is under assault by wind aided wildfires.
The weather conditions pushed the response to 6 alarms.
A couple hundred firefighters from all 5 boroughs responded.
With the help of the helicopters in the air, on the ground firefighters fanned out around the park, trying to control and kill hot spots.
They wanted to get those hot spots out before they could threaten homes.
Several residents say concern is growing as the fire continues to burn.
The FDNY believes their homes will be safe.
"We put a lot of resources into protecting those homes," said James Leonard, FDNY.
But with the wind whipping around, it was still too early to give the all clear.
Changing wind directions hampered firefighters efforts.
Another stubborn brush fire is burning inside Arden Heights Woods, a state forest area.
The fire has been upgraded to a fifth alarm.
The fire is in the rear brush area behind condos on Ilyssa Way.
The main body of fire has been knocked down and FDNY is putting water on the hot spots.
There are no structural issues, street closures, or injuries with this fire.
(The Associated Press contributed to this report)