It　is　important　to　investigate　the　liberation　properties　of　gangue　minerals　and　establish　liberation　models　for　low-grade　iron　ores　to　reject　gangue　early.　In　this　study,　three　types　of　iron　ores　from　different　iron　deposits　were　ground　to　different　particle　size　distributions　by　locked-cycle　grinding　and　batch　grinding.　The　liberation　distribution　of　quartz,　the　most　dominant　gangue　mineral　among　the　three　types　of　iron　ores,　was　tested　by　Mineral　Liberation　Analyzer　(MLA).　Afterward,　the　liberation　distribution　of　the　three　types　of　quartz　was　fitted　using　the　beta　distribution　function,　and　their　shape　parameters　were　related　to　particle　sizes　to　develop　the　liberation　model.　MLA　test　results　showed　that　the　liberation　distribution　of　quartz　with　different　grinding　methods　was　basically　the　same.　The　developed　liberation　model　predicted　the　liberation　distribution　of　quartz　in　low-grade　iron　ores　from　different　iron　deposits　well,　and　its　coefficient　of　determination　(R　2)　was　between　0.90　and　0.98.　This　study　deepens　the　understanding　of　the　liberation　rules　of　quartz　in　low-grade　iron　ores　from　different　iron　deposits,　and　on　this　basis,　a　more　efficient　liberation　model　based　on　the　beta　distribution　function　is　developed.　©　2023,　Society　for　Mining,　Metallurgy　&　Exploration　Inc.