Tyhee, IdahoTyhee is a census-designated place in Bannock County, Idaho, United States. Its population was 1,130 at the 2020 census, up from 1,123 as of the 2010 census.The community was named after a Bannock Indian chieftain.EducationTyhee is in the Pocatello/Chubbuck School District. Residents are zoned to Tyhee and Ellis Elementary Schools in Tyhee, Hawthorne Middle School in Pocatello, and Highland High School in Pocatello.