Thomas Bett, deputy county commissioner of the Bura East sub-county, said "The operation to flush out the Somalia militants' group in the region was carried out by our multi-agency team ... and (they) managed to neutralize 10 Islamist group militants and recovered assault weapons."
Kenyan forces also recovered rocket propelled grenades and improvised explosive devices after fighting the militants on Wednesday in the village of Galmagalla in Garissa county.
Spokespersons for al Shabab, who frequently have their phones switched off, could not immediately be reached for comment.
Last week, the group killed four workers from Kenya's highway authority when their vehicle hit an improvised explosive on a road in Garissa county, Onn Tuesday, one person died when a convoy was hit by a rocket propelled grenade in the same region, police said in a report.
Al Shabab have attacked targets within Kenya for years to pressure the country into withdrawing its troops from the African Union-mandated peacekeeping force helping Somalia's central government fight the group.
The Islamists have targeted security forces, schools, vehicles, towns and telecoms infrastructure in northeast and eastern Kenya, though the frequency and intensity of their attacks have declined in recent years.
