| Official Name: | Cleveland Run Township |
| Settlement Type: | Township |
| Subdivision Type: | Country |
| Subdivision Name: | United States |
| Subdivision Type1: | State |
| Subdivision Name1: | Kansas |
| Subdivision Type2: | County |
| Subdivision Name2: | Cheyenne |
| Area Total Km2: | 186.37 |
| Area Land Km2: | 186.21 |
| Area Water Km2: | 0.16 |
| Area Total Sq Mi: | 71.96 |
| Area Land Sq Mi: | 71.9 |
| Area Water Sq Mi: | 0.06 |
| Area Water Percent: | 0.09 |
| Population As Of: | 2000 |
| Population Total: | 67 |
| Population Density Km2: | 0.4 |
| Population Density Sq Mi: | 0.9 |
| Elevation M: | 1010 |
| Elevation Ft: | 3314 |
| Coordinates: | 39.9372°N -101.7978°W |
| Blank Name: | GNIS feature ID |
| Blank Info: | 0470846 |
Cleveland Run Township is a township in Cheyenne County, Kansas, USA. As of the 2000 census, its population was 67.
Cleveland Run Township covers an area of 71.96sqmi and contains no incorporated settlements. According to the USGS, it contains two cemeteries: Hackberry and Zion.
The stream of Valley Creek runs through this township.