Below is a list of Morristown IN zip codes. For your research we have also included Morristown Area Code, Time Zone, UTC and the local Shelby County FIPS Code. Each Morristown Indiana zip code has a center Longitude / Latitude point (the Morristown center is -85.698501586914 / 39.673400878906). For your convenience we have also indicated if that zip code in Morristown observes Daylight Savings time.