The system for unclogging toilets is a wire-based unclogging system for toilets, allowing clogs formed on either side of a bend in a toilet outflow pipe to be cleared simultaneously. The system includes a hollow tube having opposed upper and lower ends. The tube is mounted on a toilet so that a pair of apertures formed through the lower end communicate with an interior of the bend of the toilet outflow pipe. A plunger is slidably mounted within an interior of the tube and is resiliently biased with respect to the upper end. An air pump delivers pressurized air to the interior of the tube through a port formed through the upper end, so that the plunger may be driven downward. A pair of wires are secured to a lower surface of the plunger and extend through the apertures into either side of the bend of the toilet outflow pipe.