The decision comes a day after the US and Israel attacked Iran, which in turn responded with attacks on targets in several countries.
"The safety of our crews, vessels and customers continues to be our top priority," the Danish company wrote in a statement, adding that the announcement is valid until further notice.
Since the violence began on Saturday, there have been several reports that Iran has effectively closed the Strait of Hormuz, the world's most important transport route for oil exports from Gulf countries.
