A nature lover out for an early-morning stroll stumbled on the burned, nude body of a woman in Brooklyn yesterday, police said.

The corpse, whose hands were charred, was found around 7:15 a.m. in a nature preserve on the border of Marine Park and Gerritsen Beach, police said.

The unidentified victim, who was black, was found near a footpath, sources said.

There were no other obvious signs of trauma, sources added.