"Tullow takes its relationships with the local communities extremely seriously and the decision to suspend exploration and appraisal operations was taken to prevent further escalation of the demonstrations while discussions to resolve this issue for the long term are ongoing," the company said in a statement.
Tullow's decision affected operations at blocks 10BB and 13T in northern Kenya.
It said it was working with local communities and the central government in Nairobi so it could return to work as soon as possible.
More than half of the 1,400 people employed by Tullow in Kenya are from the north of the country.
Last month, the company announced it made a new oil discovery in northern Kenya. It said it encountered a "potential" net oil layer at least 190 feet thick in its Ekales-1 wildcat well in an area not known to contain a proven oil field.
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