Woodburn, Kentucky is located in the Central Time Zone, which means that the time is Central Standard Time (CST) during regular time and Central Daylight Time (CDT) when daylight savings is in effect. Central Standard Time. When it is Central Standard Time, Woodburn, Kentucky is UTC-06:00 which means that it is -6 hours offset from Coordinated Universal Time (UTC). The Central Standard Time in Woodburn, Kentucky (UTC-06:00) is shown in blue below: Central Daylight Time.