The sources said the clashes involved Somali clan militia and members of the Liyu police, an Ethiopian paramilitary unit operating in Ethiopia's ethnic Somali region.
"The Liyu Police Unit launched an attack on innocent civilians. They are attacking villagers and killing people who keep livestock," Hussein Weheliye Irfo, the governor of the Galgadud region in central Somalia, told reporters.
He said the Somali government was aware of the clashes and also called for the intervention of Ethiopia's government and the African Union force in Somalia, AMISOM.
"It is effecting a vast area and the casualties are very high, 35 dead bodies have been counted so far," Mohamed Garane, a traditional elder in Guricel district where the wounded are hospitalised, said by telephone.
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Another elder in the region, Daud Moalim Ise, said the Liyu force had used "excessive force" and said up to 45 had been killed.
"We have received around 29 wounded, most of them civilians. Many others are unable to reach here," added Ali Omar, director of the main hospital in Guricel district. "Among them are women and children with severe gunshot wounds."