Hours into the operation, the Kurdish Regional Security Council said forces were in control of a section of Highway 47, of one of IS's most active supply lines, completely isolating Sinjar from militant strongholds in Syria and northern Iraq.
The Kurdish fighters also said they had secured the villages of Gabarra, on the western front, and Tel Shore, Fadhelya and Qen on the eastern front.
Heavy gunfire broke out early today as peshmerga fighters began their approach amid aerial bombardment. An Associated Press team saw a small American unit at the top of a hill along the front line calling in and confirming airstrikes.
The coalition said 24 airstrikes were carried out over the past day, striking nine militant tactical units, nine staging areas and destroying 27 fighting positions, among other targets.
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Sinjar was captured by the Islamic State group in August 2014 shortly after the extremists seized Iraq's second-largest city, Mosul, and blitzed across northern Iraq.
The major objective of the offensive is to completely cut off Highway 47, which passes by Sinjar and indirectly links the militants' two biggest strongholds Raqqa in Syria and Mosul in northern Iraq as a route for goods, weapons and fighters.
"If they're trying to move from Raqqa over to Mosul, they're going to have to take these back roads and go through the desert, and it's going take hours, maybe days longer to get across."
Iraqiyya state television said Kurdish peshmerga also reached the Sinjar mayor's office, though Kurdish officials did not immediately confirm it.