Trash bins were set ablaze in the 1600 block of Putnam Way, the 800 block of Victoria Drive and the 300 block of Marguerite Way sometime around 3 a.m.
A fire was also lit inside a Dumpster outside of La Tercera Elementary School, located at 1600 Albin Way, according to police.
The flames did not damage any structures, and no injuries were reported.
Anyone with information about the incidents is asked to call Petaluma police Officer Bob Barnes at (707) 778-4372.