Putnam Township is one of twenty townships in Fayette County, Iowa, USA.

As of the 2010 census, its population was 313.

[1] According to the United States Census Bureau, Putnam Township covers an area of 36.56 square miles (94.69 square kilometers); of this, 36.54 square miles (94.63 square kilometers, 99.94 percent) is land and 0.02 square miles (0.06 square kilometers, 0.06 percent) is water.

(This list is based on USGS data and may include former settlements.)

The township contains Union Cemetery.