| Official Name: | Lafayette Township |
| Settlement Type: | Township |
| Subdivision Type: | Country |
| Subdivision Type1: | State |
| Subdivision Type2: | County |
| Subdivision Name2: | Story |
| Unit Pref: | Imperial |
| Area Total Sq Mi: | 35.8 |
| Area Land Sq Mi: | 35.8 |
| Area Water Sq Mi: | 0.0 |
| Area Water Percent: | 0.0 |
| Population As Of: | 2000 |
| Population Total: | 3523 |
| Population Density Sq Mi: | 98 |
| Elevation Ft: | 1010 |
| Coordinates: | 42.1661°N -93.6397°W |
| Postal Code Type: | ZIP Code |
| Postal Code: | 50248 |
| Area Code: | 515 |
Lafayette Township is a township in Story County, Iowa, USA. As of the 2000 census, its population was 3523.
Lafayette Township covers an area of 35.8sqmi and contains the incorporated town of Story City. According to the USGS, it contains three cemeteries: Fairview Cemetery, Sowers Cemetery and South Saint Petri Cemetery.
U.S. Route 69 runs north and south through the township and County Roads E18 and E15 run east–west.