The new deadline was announced by the Federal Emergency Management Agency. Gov. Rick Perry had sought the extension.
The Sept. 13, 2008, hurricane swamped parts of the Galveston area.
FEMA spokesman Raymundo Perez on Tuesday said 102 families in Galveston County are still living in mobile homes provided by the agency.
More than 3,700 FEMA-provided mobile homes were in use immediately following Ike. Overall, 149 mobile homes are still occupied by displaced Ike residents in Texas.