The Gargoyle Taskforce, occasionally abbreviated to GTF, is a special division of the NYPD, established immediately following the destruction of the clock tower and Jon Canmore's subsequent blaming of the gargoyles for that incident, which revealed their existence to the human populace of New York.
Placed under the command of Matt Bluestone, the GTF was assigned the task of hunting down and capturing or at least countering the gargoyles. The Gargoyle Taskforce surrounded St. Damien's Cathedral during the gargoyles' battle with the Hunters there, but Matt prevented it from attacking until it became clear that the frightened citizens watching on the sidelines would riot if he did not act. Fortunately, Xanatos rescued the gargoyles just as the Taskforce was about to strike ("Hunter's Moon" Part Three). The Gargoyle Taskforce remains operational, although presumably Matt's leadership will keep it from being a serious menace to Goliath and his clan.