UPDATE: In a letter to NBC, Washington, D.C., Attorney General Irvin B. Nathan chided Gregory for his actions but wrote that the Meet the Press host would not face charges, stating that prosecution "would not promote public safety in the District of Columbia, nor serve the best interests of the people."
"David Gregory is not above the law; he is a journalist, and must be held accountable to the same law as every other person," the petition reads in part.
So far, the petition has received over 11,000 signatures.
The incident is currently being investigated by the Metropolitan Police Department of D.C. to determine whether Gregory violated any city gun laws.
During last Sunday's episode of Meet the Press, Gregory held up what appeared to be a 30-round cartridge case during a discussion with NRA honcho Wayne LaPierre about the damage high-capacity clips have caused in such mass shootings as the one that occurred in Newtown, Conn., earlier this month.
(E! and Meet the Press are part of the NBCUniversal family.)