The pro skateboarder, 42, filed for divorce from his wife, Lhotse Merriam, in North San Diego County, Calif., on Friday.
"We have made the difficult decision to file for divorce," the couple say in a joint statement Monday.
"We remain deeply committed and loving parents to our daughter, and out of respect for that responsibility we ask that people honor our family's privacy during this important time of transition," the statement continues. "Thank you for your understanding."
Merriam gave birth to their first child together, Kadence Clover Hawk, in June 2008.
The two married five years ago in Fiji. Hawk has three sons from his previous relationships.