A system for cleaning a downspout of an eavestrough system where the downspout comprises a downwardly extending pipe with a bottom discharge portion having a mouth utilizes an air blower system which can be a leaf blower or a shop vacuum with an outlet nozzle. The system includes a connector portion in the form of a flexible sleeve having first and second open ends and a tightening system such as a strap at each end. In use the first end is tightened onto the outlet nozzle of the air blower and the second end is tightened onto the discharge portion at the mouth and the air blower system is operated to drive air through the downspout to expel any collected materials.