The Green Bay Packers say they're heartbroken over the Christmas parade crash in Wisconsin that left 5 people dead ... calling the tragedy a "terrible, senseless act."
The NFL org. released a statement in support of the victims hours after the mayhem erupted on Sunday ... saying, "Our thoughts are with the community of Waukesha this evening."
As we previously reported, a red Ford Escape sped into a Xmas parade this weekend in Waukesha, WI -- two hours south of Green Bay -- running over several spectators.
Multiple witnesses captured footage of the chaos .