"What we know so far is that the eruption does not pose any risk to populated areas or critical infrastructure," she added.
It is still unclear how long the eruption will last. An eruption on the same peninsula last year saw lava fountains shooting upwards for months. The natural spectacle attracted countless volcanologists, hikers and travellers.
This time, too, curious onlookers have made their way to the eruption site, with media reports speaking of thousands of people.
A helicopter pilot told broadcaster RÚV that the number of requests for helicopter tours has skyrocketed. So far, however, the airspace over the volcano is still closed.
The government also advised hikers to stay off the area due to the gas development. Iceland's chief police officer Vídir Reynisson, in comments to RÚV, said that the kilometer-long route to the eruption site was only suitable for experienced hikers.