The incident occurred just after 8 p.m. on Sept. 2 at Lt. Michael P. Murphy Memorial Park.
Police say the suspects used spray-painted graffiti on a building and over a security camera.
The suspects, all in their late teens or early 20s, were seen driving a dark-colored Sedan.
The park honors the memory of Lt. Michael P. Murphy, a Navy SEAL from Patchogue who was posthumously awarded the Medal of Honor for his heroism in Afghanistan in 2005.
Anyone with information is asked to call the Suffolk County Police Department's 4th Precinct Crime Control Section at (631) 854-8400.
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