Irving Township (T9N R3W) is located in Montgomery County, Illinois, United States.

As of the 2010 census, its population was 1,006 and it contained 454 housing units.

[2] According to the 2010 census, the township has a total area of 35.71 square miles (92.5 km2), of which 34.28 square miles (88.8 km2) (or 96.00%) is land and 1.43 square miles (3.7 km2) (or 4.00%) is water.

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