Enos Jones, Berry Lane, Audubon, and Leonard Gordon Parks are also now open from dusk til dawn.
Parkgoers can enjoy solo activities like walking, jogging and exercising. Group activities are still banned.
Playground equipment, dog runs, basketball hoops, and other active recreation equipment will still remain closed.
Restrooms and any indoor facilities will also remain closed to public access.
Dog walkers are also asked to keep all dogs on leashes and curb all dogs before entering the park, but this is a first step in reopening society.
"Better to have a controlled environment where people can safely go somewhere than an uncontrolled environment where you are thinking of praying people stay inside their home - when the reality is it's not going to happen," Fulop said.
But Governor Phil Murphy says state parks will remain closed.
"We are not out of the woods yet. I think we're several weeks away, and the big mantra, and our state has done a good job. The mandate to stay home and stay away from each other is still in very much effect until we can break the back of this curve," he said.
Governor Murphy will lay out his road map for reopening New Jersey on Monday.
MORE CORONAVIRUS COVID-19 COVERAGE
COVID-19 Help, Information and Resources
UPDATES
Grieving the lost: Tri-State residents who have died
New York state
Connecticut
New York City
Long Island
RELATED INFORMATION
Share your coronavirus story with Eyewitness News
Stimulus check scams and other coronavirus hoaxes
Coronavirus prevention: how clean are your hands?
Centers for Disease Control and Prevention on coronavirus
Coronavirus cases by NJ county