There are also reports of ExxonMobil pulling staff out of the region.
Afren will withdraw all non-essential field staff from the field, while all other personnel from other field operations remain unchanged.
The company said it would follow operations and consult with its local security team. It said operations were expected to restart shortly.
According to the company, the change in operations would not have a significant impact on the company’s cashflow.
US President Barack Obama announced on Thursday that he had authorised limited use of air power on advancing Islamic militants in northern Iraq to protect American personnel, but had no intention of getting dragged into war there.