Shortly after opening, the futures price of North Sea oil rose 3.3 percent to $96.15 per barrel. American WTI oil stood at $93.58 after a rise of 3.4 percent.
When trading closed on Friday, the prices were $93.09 and $90.54, respectively.
Several attacks were carried out over the weekend. On Sunday evening, Iran fired missiles at Israel, all of which were shot down. This followed Israel's attack on the Iran-backed Hezbollah movement in the Lebanese capital Beirut.
The Iranian Revolutionary Guard has promised several days of continued attacks if Israel attacks Beirut again.
Before the war began on February 28, oil cost around $70 per barrel.
