The attacks raised fears of a confrontation in the vital oil shipping route at a time of increased tension between Iran and the United States over US sanctions and military moves in the Middle East.
Oil prices steadied on Thursday after falling to near 5-month lows in the previous session.
The Israeli military said its aircraft struck Syrian army targets on Sunday after rockets were fired at the Golan Heights, and Syria’s state media said three soldiers were killed in the second such flare-up in a week.
Oil prices were mixed on Tuesday as supply cuts, led by producer club OPEC, and US sanctions on fuel exports from Iran and Venezuela supported crude, while concerns about an economic slowdown weighed on the market.
The Australian government has stripped citizenship from a man it believes is a top recruiter for Islamic State.