Parkhi Union () is a union of Kalihati Upazila, Tangail District, Bangladesh. It is situated 19 km north of Tangail, The District Headquarter.
According to Population Census 2011 performed by Bangladesh Bureau of Statistics, The total population of Parkhi union is 19164. There are 4622 households in total.
The literacy rate of Parkhi Union is 44.5% (Male-47.8%, Female-41.6%).