When officers arrived they found a man lying on the floor inside the library with a gunshot wound in his back.
The man, whose name is not being released at this time, was transported to Duke Hospital in critical condition.
Further information about the incident is not available.
The library was shut down because of the incident. It announced to patrons that it was "shutting down for unforeseen circumstances."
Police are searching for a suspect and a motive for the shooting.
Anyone with information is asked to call District Five Substation Investigator A.C. Rogers at 560-4935, ext.29416 or CrimeStoppers at 683-1200. CrimeStoppers pays cash rewards for information leading to arrests in felony cases and callers never have to identify themselves.