| Kaj | |
| Native Name: | Persian: كاج |
| Native Name Lang: | fa |
| Settlement Type: | Village |
| Pushpin Map: | Iran |
| Coordinates Footnotes: | [1] |
| Subdivision Type: | Country |
| Subdivision Name: | Iran |
| Subdivision Type1: | Province |
| Subdivision Name1: | Hamadan |
| Subdivision Type2: | County |
| Subdivision Name2: | Dargazin |
| Subdivision Type3: | District |
| Subdivision Name3: | Shahanjarin |
| Subdivision Type4: | Rural District |
| Subdivision Name4: | Dargazin-e Sharqi |
| Unit Pref: | Metric |
| Population As Of: | 2016 |
| Population Total: | 1053 |
| Population Density Km2: | auto |
| Timezone: | IRST |
| Utc Offset: | +3:30 |
Kaj (Persian: كاج) is a village in, and the capital of, Dargazin-e Sharqi Rural District of Shahanjarin District, Dargazin County, Hamadan province, Iran.[2]
At the time of the 2006 National Census, the village's population was 1,114 in 292 households, when it was in Darjazin-e Olya Rural District of the former Qorveh-e Darjazin District of Razan County.[3] The following census in 2011 counted 1,133 people in 342 households.[4] The 2016 census measured the population of the village as 1,053 people in 334 households.[5]
After the census, the district was separated from the county in the establishment of Dargazin County, which was divided into two districts of two rural districts each, with the city of Qorveh-e Dargazin as its capital. Kay was transferred to Dargazin-e Sharqi Rural District created in the new Shahanjarin District.[2]