The multinational force said on Twitter that vehicles and equipment were destroyed today morning and "a large cache of weapons" was captured.
The statement says helicopter gunships supported the assault on the al-Shabab camp outside Afmadhow.
A separate statement on the assault by Kenya's defense ministry says an unknown number of extremists were injured. There was no immediate word of casualties among the AU or Somali forces.
The al-Qaida-linked al-Shabab has lost ground in Somalia in recent years under pressure from such assaults but continues to carry out deadly attacks in the capital, Mogadishu.
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