Vinita Township is a township in Kingman County, Kansas, United States. As of the 2000 census, its population was 249.
Vinita Township covers an area of 35.31 square miles (91.46 square kilometers); of this, 0.24 square miles (0.62 square kilometers) or 0.68 percent is water. The streams of Fish Creek and Smoots Creek run through this township.
The township contains one cemetery, Vinita.